longdivision 108/9

{ "query": { "display": "long division $$\\frac{108}{9}$$", "symbolab_question": "PRE_ALGEBRA#longdivision \\frac{108}{9}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Decimals", "subTopic": "Long Division", "default": "12", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Long Division $$\\frac{108}{9}:{\\quad}12$$", "input": "\\frac{108}{9}", "steps": [ { "type": "step", "primary": "Write the problem in long division format", "result": "\\begin{matrix}9\\overline{|\\kern0.1em108}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{matrix}" }, { "type": "interim", "title": "Divide $$10\\:$$by $$9\\:$$to get $$1$$", "input": "\\:", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:1\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\9\\overline{|\\kern0.1em108}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{9}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:18\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}", "steps": [ { "type": "step", "primary": "Divide $$10\\:$$by $$9\\:$$to get $$1$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:1\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\9\\overline{|\\kern0.1em108}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Multiply the quotient digit $$\\left(1\\right)\\:$$by the divisor $$9$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:1\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\9\\overline{|\\kern0.1em108}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{9}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Subtract $$9\\:$$from $$10$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:1\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\9\\overline{|\\kern0.1em108}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{9}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:1\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Bring down the next number of the dividend", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:1\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\9\\overline{|\\kern0.1em108}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{9}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:18\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" } ], "meta": { "interimType": "Long Division Divide 3Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjAuRbUqF0v2PpVuPGQH4dLbLeu+MH3/4O31zRKyMpNuXtAM4L+5fXXw9GSOcy6r17247gw0Bjl2dp7Dln9ROsDN6afEYQ3l0C6+v/E3F0iC5ZEQlrQ67quu86RDujFLtS5ucracpFgQMQj5fXebbLjk1KflUbVNxYsQPaWca+CYRlYDM6rSi/Xm94X4B66+/pQ=" } }, { "type": "interim", "title": "Divide $$18\\:$$by $$9\\:$$to get $$2$$", "input": "\\:", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:12\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\9\\overline{|\\kern0.1em108}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{9}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:18\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{18}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:0\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}", "steps": [ { "type": "step", "primary": "Divide $$18\\:$$by $$9\\:$$to get $$2$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:12\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\9\\overline{|\\kern0.1em108}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{9}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:18\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Multiply the quotient digit $$\\left(2\\right)\\:$$by the divisor $$9$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:12\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\9\\overline{|\\kern0.1em108}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{9}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:18\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{18}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Subtract $$18\\:$$from $$18$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:12\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\9\\overline{|\\kern0.1em108}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{9}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:18\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{18}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:0\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" } ], "meta": { "interimType": "Long Division Divide 3Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjAuRbUqF0v2PpVuPGQH4dLbLeu+MH3/4O31zRKyMpNuXtAM4L+5fXXw9GSOcy6r170ZIt9WDc6pYAy7o1Vnm4BCgi7USri9UTgrXUKv6pL78JEQlrQ67quu86RDujFLtS6zXaF9gjBjliHFQTyRIzZA1KflUbVNxYsQPaWca+CYRqdINF4H4S/KSUtLpN6w09A=" } }, { "type": "step", "primary": "The solution for Long Division of $$\\frac{108}{9}\\:$$is $$12$$", "result": "12" } ], "meta": { "solvingClass": "StepsLongDivisionDecimals" } }, "meta": { "showVerify": true } }