longdivision (3.45)/(2.6)

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{ "type": "step", "primary": "Subtract $$52\\:$$from $$70$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:1.32\\:\\:\\:\\:\\:\\:\\:\\\\26\\overline{|\\kern0.1em34.50}\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{26}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:85\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\underline{78}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:70\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:18\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Add a zero to the dividend", "secondary": [ "Bring down the zero from the dividend" ], "result": 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"\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:1.326\\:\\:\\:\\:\\:\\\\26\\overline{|\\kern0.1em34.5000}\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{26}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:85\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\underline{78}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:70\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:180\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{156}\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:240\\:\\:\\:\\:\\end{array}", "steps": [ { "type": "step", "primary": "Divide $$180\\:$$by $$26\\:$$to get $$6$$", "result": 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"title": "Divide $$240\\:$$by $$26\\:$$to get $$9$$", "input": "\\:", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:1.3269\\:\\:\\:\\\\26\\overline{|\\kern0.1em34.50000}\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{26}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:85\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\underline{78}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:70\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:180\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{156}\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:240\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{234}\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:60\\:\\:\\end{array}", "steps": [ { "type": "step", "primary": "Divide $$240\\:$$by $$26\\:$$to get $$9$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:1.3269\\:\\:\\:\\\\26\\overline{|\\kern0.1em34.5000}\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{26}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:85\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\underline{78}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:70\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:180\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{156}\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:240\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Multiply the quotient digit $$\\left(9\\right)\\:$$by the divisor $$26$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:1.3269\\:\\:\\:\\\\26\\overline{|\\kern0.1em34.5000}\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{26}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:85\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\underline{78}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:70\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:180\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{156}\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:240\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{234}\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Subtract $$234\\:$$from $$240$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:1.3269\\:\\:\\:\\\\26\\overline{|\\kern0.1em34.5000}\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{26}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:85\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\underline{78}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:70\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:180\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{156}\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:240\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{234}\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:6\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Add a zero to the dividend", "secondary": [ "Bring down the zero from the dividend" ], "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:1.3269\\:\\:\\:\\\\26\\overline{|\\kern0.1em34.50000}\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{26}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:85\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\underline{78}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:70\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:180\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{156}\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:240\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{234}\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:60\\:\\:\\end{array}" } ], "meta": { "interimType": "Long Division Divide 3Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjAuRbUqF0v2PpVuPGQH4dLbLeu+MH3/4O31zRKyMpNuXtAM4L+5fXXw9GSOcy6r173DHbtCPsOi1rXCsNsO+487vtQuCiYt7eRPmjxCiOr4PXql8XXPq6bNQlMm+36iNhkqUutZEApKGMEVQVVFGkR96g6K111+lcCB5k4l0v6vUHxvtQOOfilYRJ8mj55R0QK/Mg94S0N9we//Py6WzxN6" } }, { "type": "interim", "title": "Divide $$60\\:$$by $$26\\:$$to get $$2$$", "input": "\\:", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:1.32692\\:\\\\26\\overline{|\\kern0.1em34.50000}\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{26}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:85\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\underline{78}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:70\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:180\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{156}\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:240\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{234}\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:60\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:8\\:\\:\\end{array}", "steps": [ { "type": "step", "primary": "Divide $$60\\:$$by $$26\\:$$to get $$2$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:1.32692\\:\\\\26\\overline{|\\kern0.1em34.50000}\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{26}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:85\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\underline{78}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:70\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:180\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{156}\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:240\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{234}\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:60\\:\\:\\end{array}" }, { "type": "step", "primary": "Multiply the quotient digit $$\\left(2\\right)\\:$$by the divisor $$26$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:1.32692\\:\\\\26\\overline{|\\kern0.1em34.50000}\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{26}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:85\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\underline{78}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:70\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:180\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{156}\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:240\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{234}\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:60\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\end{array}" }, { "type": "step", "primary": "Subtract $$52\\:$$from $$60$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:1.32692\\:\\\\26\\overline{|\\kern0.1em34.50000}\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{26}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:85\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\underline{78}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:70\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:180\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{156}\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:240\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{234}\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:60\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{52}\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:8\\:\\:\\end{array}" } ], "meta": { "interimType": "Long Division Divide 3Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjAuRbUqF0v2PpVuPGQH4dLbLeu+MH3/4O31zRKyMpNuXtAM4L+5fXXw9GSOcy6r172/0RVsnfTZVImoeHhnorO1ah3EPOYgpPiO7YY4Z62flk3kCh3oevUunZ7/b0qFKBS7I7CNMlW+L43gb9nEroTcqMgAy+xEUe/TRxgMUpIouxxcGuu0/DnUtb9I0RoTKC0=" } }, { "type": "step", "primary": "Stopping at 5 decimal places" }, { "type": "step", "primary": "The solution for Long Division of $$\\frac{3.45}{2.6}\\:$$is $$1.32692…$$", "result": "1.32692…" } ], "meta": { "solvingClass": "StepsLongDivisionDecimals" } }, "meta": { "showVerify": true } }