longdivision 3600/60

{ "query": { "display": "long division $$\\frac{3600}{60}$$", "symbolab_question": "PRE_ALGEBRA#longdivision \\frac{3600}{60}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Decimals", "subTopic": "Long Division", "default": "60", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Long Division $$\\frac{3600}{60}:{\\quad}60$$", "input": "\\frac{3600}{60}", "steps": [ { "type": "step", "primary": "Write the problem in long division format", "result": "\\begin{matrix}60\\overline{|\\kern0.1em3600}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{matrix}" }, { "type": "interim", "title": "Divide $$360\\:$$by $$60\\:$$to get $$6$$", "input": "\\:", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:6\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\60\\overline{|\\kern0.1em3600}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{360}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:00\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}", "steps": [ { "type": "step", "primary": "Divide $$360\\:$$by $$60\\:$$to get $$6$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:6\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\60\\overline{|\\kern0.1em3600}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Multiply the quotient digit $$\\left(6\\right)\\:$$by the divisor $$60$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:6\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\60\\overline{|\\kern0.1em3600}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{360}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Subtract $$360\\:$$from $$360$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:6\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\60\\overline{|\\kern0.1em3600}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{360}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:0\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Bring down the next number of the dividend", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:6\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\60\\overline{|\\kern0.1em3600}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{360}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:00\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" } ], "meta": { "interimType": "Long Division Divide 3Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjAuRbUqF0v2PpVuPGQH4dLbLeu+MH3/4O31zRKyMpNuXtAM4L+5fXXw9GSOcy6r171/guIdC+WO0Ncw70VmWC1wJQi8tsiO5gkFmR2W7s8pNHql8XXPq6bNQlMm+36iNhkILPzj9aFwFXBNF97+uzTRoBg1FnEGJ3ZC0VFJdS8zbMZflChbv0QWfsUV4MUWs8+/Mg94S0N9we//Py6WzxN6" } }, { "type": "interim", "title": "Divide $$0\\:$$by $$60\\:$$to get $$0$$", "input": "\\:", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:60\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\60\\overline{|\\kern0.1em3600}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{360}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:00\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:0\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}", "steps": [ { "type": "step", "primary": "Divide $$0\\:$$by $$60\\:$$to get $$0$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:60\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\60\\overline{|\\kern0.1em3600}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{360}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:00\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Multiply the quotient digit $$\\left(0\\right)\\:$$by the divisor $$60$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:60\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\60\\overline{|\\kern0.1em3600}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{360}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:00\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Subtract $$0\\:$$from $$0$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:60\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\60\\overline{|\\kern0.1em3600}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{360}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:00\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\underline{0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:0\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" } ], "meta": { "interimType": "Long Division Divide 3Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjAuRbUqF0v2PpVuPGQH4dLbLeu+MH3/4O31zRKyMpNuXtAM4L+5fXXw9GSOcy6r170c/PyOC1WKe0rs1Nz5rX4flm4HFqnHT66UEKLsQUNOxJEQlrQ67quu86RDujFLtS55n3pzH7pENdOEfS6jqMsQgskusnnCtdzMUMJMNy4Gb+cfQUJiCxoksA6bsREASis=" } }, { "type": "step", "primary": "The solution for Long Division of $$\\frac{3600}{60}\\:$$is $$60$$", "result": "60" } ], "meta": { "solvingClass": "StepsLongDivisionDecimals" } }, "meta": { "showVerify": true } }