longdivision 144/3

{ "query": { "display": "long division $$\\frac{144}{3}$$", "symbolab_question": "PRE_ALGEBRA#longdivision \\frac{144}{3}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Decimals", "subTopic": "Long Division", "default": "48", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Long Division $$\\frac{144}{3}:{\\quad}48$$", "input": "\\frac{144}{3}", "steps": [ { "type": "step", "primary": "Write the problem in long division format", "result": "\\begin{matrix}3\\overline{|\\kern0.1em144}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{matrix}" }, { "type": "interim", "title": "Divide $$14\\:$$by $$3\\:$$to get $$4$$", "input": "\\:", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:4\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\3\\overline{|\\kern0.1em144}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{12}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:24\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}", "steps": [ { "type": "step", "primary": "Divide $$14\\:$$by $$3\\:$$to get $$4$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:4\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\3\\overline{|\\kern0.1em144}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Multiply the quotient digit $$\\left(4\\right)\\:$$by the divisor $$3$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:4\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\3\\overline{|\\kern0.1em144}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{12}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Subtract $$12\\:$$from $$14$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:4\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\3\\overline{|\\kern0.1em144}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{12}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:2\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Bring down the next number of the dividend", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:4\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\3\\overline{|\\kern0.1em144}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{12}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:24\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" } ], "meta": { "interimType": "Long Division Divide 3Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjAuRbUqF0v2PpVuPGQH4dLbLeu+MH3/4O31zRKyMpNuXtAM4L+5fXXw9GSOcy6r171h4coCzpi+tJuB1mO7hYuIdNKxcw94OCJ46gzK9qS1TJEQlrQ67quu86RDujFLtS5Ui5cdeq1ZTNIjbSHWff/pCov3X8Rmv87zdT716PEIoKk5LnTzjPXbz5Ku0isDDjc=" } }, { "type": "interim", "title": "Divide $$24\\:$$by $$3\\:$$to get $$8$$", "input": "\\:", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:48\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\3\\overline{|\\kern0.1em144}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{12}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:24\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{24}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:0\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}", "steps": [ { "type": "step", "primary": "Divide $$24\\:$$by $$3\\:$$to get $$8$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:48\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\3\\overline{|\\kern0.1em144}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{12}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:24\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Multiply the quotient digit $$\\left(8\\right)\\:$$by the divisor $$3$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:48\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\3\\overline{|\\kern0.1em144}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{12}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:24\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{24}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Subtract $$24\\:$$from $$24$$", "result": "\\begin{array}{l}\\:\\:\\:\\:\\:\\:48\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\3\\overline{|\\kern0.1em144}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{12}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:24\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\underline{24}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:\\:\\:0\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" } ], "meta": { "interimType": "Long Division Divide 3Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjAuRbUqF0v2PpVuPGQH4dLbLeu+MH3/4O31zRKyMpNuXtAM4L+5fXXw9GSOcy6r172ZMLR0BHlCBSARiStmJI/DJhhOUJ4+b0sozmBJodb1hZEQlrQ67quu86RDujFLtS6k47Rptw4bBAKnU1I2D5uCCov3X8Rmv87zdT716PEIoB3Z7lLRz+FS/MwAm7CZoks=" } }, { "type": "step", "primary": "The solution for Long Division of $$\\frac{144}{3}\\:$$is $$48$$", "result": "48" } ], "meta": { "solvingClass": "StepsLongDivisionDecimals" } }, "meta": { "showVerify": true } }