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Question

What is the quotient and remainder when $ 86007 $ is divided by $ 5787 $ ?

Answer

The quotient is 14 and the remainder is 4989.

Explanation

Division Table
				0	0	0	1	4
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0
					–	0
				8	6	0	0
			–	5	7	8	7
				2	8	1	3	7
			–	2	3	1	4	8
					4	9	8	9

STEP 0: set up a division table

5	7	8	7	8	6	0	0	7

STEP 1: DIVIDE 8 : 5787 = 0 with a remainder of 8
				0
5	7	8	7	8	6	0	0	7

STEP 2: MULTIPLY 0 · 5787 = 0
				0
5	7	8	7	8	6	0	0	7
				0

STEP 3: SUBTRACT 8 - 0 = 8
				0
5	7	8	7	8	6	0	0	7
			–	0
				8

STEP 4: BRING DOWN
				0
5	7	8	7	8	6	0	0	7
			–	0
				8	6

STEP 5: DIVIDE 86 : 5787 = 0 with a remainder of 86
				0	0
5	7	8	7	8	6	0	0	7
			–	0
				8	6

STEP 6: MULTIPLY 0 · 5787 = 0
				0	0
5	7	8	7	8	6	0	0	7
			–	0
				8	6
					0

STEP 7: SUBTRACT 86 - 0 = 86
				0	0
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6

STEP 8: BRING DOWN
				0	0
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0

STEP 9: DIVIDE 860 : 5787 = 0 with a remainder of 860
				0	0	0
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0

STEP 10: MULTIPLY 0 · 5787 = 0
				0	0	0
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0
						0

STEP 11: SUBTRACT 860 - 0 = 860
				0	0	0
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0
					–	0
				8	6	0

STEP 12: BRING DOWN
				0	0	0
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0
					–	0
				8	6	0	0

STEP 13: DIVIDE 8600 : 5787 = 1 with a remainder of 2813
				0	0	0	1
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0
					–	0
				8	6	0	0

STEP 14: MULTIPLY 1 · 5787 = 5787
				0	0	0	1
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0
					–	0
				8	6	0	0
				5	7	8	7

STEP 15: SUBTRACT 8600 - 5787 = 2813
				0	0	0	1
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0
					–	0
				8	6	0	0
			–	5	7	8	7
				2	8	1	3

STEP 16: BRING DOWN
				0	0	0	1
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0
					–	0
				8	6	0	0
			–	5	7	8	7
				2	8	1	3	7

STEP 17: DIVIDE 28137 : 5787 = 4 with a remainder of 4989
				0	0	0	1	4
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0
					–	0
				8	6	0	0
			–	5	7	8	7
				2	8	1	3	7

STEP 18: MULTIPLY 4 · 5787 = 23148
				0	0	0	1	4
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0
					–	0
				8	6	0	0
			–	5	7	8	7
				2	8	1	3	7
				2	3	1	4	8

STEP 19: SUBTRACT 28137 - 23148 = 4989
				0	0	0	1	4
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0
					–	0
				8	6	0	0
			–	5	7	8	7
				2	8	1	3	7
			–	2	3	1	4	8
					4	9	8	9

STEP 19: SUBTRACT 28137 - 23148 = 4989
				0	0	0	1	4
5	7	8	7	8	6	0	0	7
			–	0
				8	6
				–	0
				8	6	0
					–	0
				8	6	0	0
			–	5	7	8	7
				2	8	1	3	7
			–	2	3	1	4	8
					4	9	8	9

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