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Question

What is the quotient and remainder when $ 9588623 $ is divided by $ 6598 $ ?

Answer

The quotient is 1453 and the remainder is 1729.

Explanation

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

STEP 0: set up a division table

6	5	9	8	9	5	8	8	6	2	3

STEP 1: DIVIDE 9 : 6598 = 0 with a remainder of 9
				0
6	5	9	8	9	5	8	8	6	2	3

STEP 2: MULTIPLY 0 · 6598 = 0
				0
6	5	9	8	9	5	8	8	6	2	3
				0

STEP 3: SUBTRACT 9 - 0 = 9
				0
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9

STEP 4: BRING DOWN
				0
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5

STEP 5: DIVIDE 95 : 6598 = 0 with a remainder of 95
				0	0
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5

STEP 6: MULTIPLY 0 · 6598 = 0
				0	0
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
					0

STEP 7: SUBTRACT 95 - 0 = 95
				0	0
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5

STEP 8: BRING DOWN
				0	0
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8

STEP 9: DIVIDE 958 : 6598 = 0 with a remainder of 958
				0	0	0
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8

STEP 10: MULTIPLY 0 · 6598 = 0
				0	0	0
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
						0

STEP 11: SUBTRACT 958 - 0 = 958
				0	0	0
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8

STEP 12: BRING DOWN
				0	0	0
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8

STEP 13: DIVIDE 9588 : 6598 = 1 with a remainder of 2990
				0	0	0	1
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8

STEP 14: MULTIPLY 1 · 6598 = 6598
				0	0	0	1
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
				6	5	9	8

STEP 15: SUBTRACT 9588 - 6598 = 2990
				0	0	0	1
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0

STEP 16: BRING DOWN
				0	0	0	1
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6

STEP 17: DIVIDE 29906 : 6598 = 4 with a remainder of 3514
				0	0	0	1	4
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6

STEP 18: MULTIPLY 4 · 6598 = 26392
				0	0	0	1	4
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6
				2	6	3	9	2

STEP 19: SUBTRACT 29906 - 26392 = 3514
				0	0	0	1	4
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6
			–	2	6	3	9	2
					3	5	1	4

STEP 20: BRING DOWN
				0	0	0	1	4
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6
			–	2	6	3	9	2
					3	5	1	4	2

STEP 21: DIVIDE 35142 : 6598 = 5 with a remainder of 2152
				0	0	0	1	4	5
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6
			–	2	6	3	9	2
					3	5	1	4	2

STEP 22: MULTIPLY 5 · 6598 = 32990
				0	0	0	1	4	5
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6
			–	2	6	3	9	2
					3	5	1	4	2
					3	2	9	9	0

STEP 23: SUBTRACT 35142 - 32990 = 2152
				0	0	0	1	4	5
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6
			–	2	6	3	9	2
					3	5	1	4	2
				–	3	2	9	9	0
						2	1	5	2

STEP 24: BRING DOWN
				0	0	0	1	4	5
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6
			–	2	6	3	9	2
					3	5	1	4	2
				–	3	2	9	9	0
						2	1	5	2	3

STEP 25: DIVIDE 21523 : 6598 = 3 with a remainder of 1729
				0	0	0	1	4	5	3
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6
			–	2	6	3	9	2
					3	5	1	4	2
				–	3	2	9	9	0
						2	1	5	2	3

STEP 26: MULTIPLY 3 · 6598 = 19794
				0	0	0	1	4	5	3
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6
			–	2	6	3	9	2
					3	5	1	4	2
				–	3	2	9	9	0
						2	1	5	2	3
						1	9	7	9	4

STEP 27: SUBTRACT 21523 - 19794 = 1729
				0	0	0	1	4	5	3
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6
			–	2	6	3	9	2
					3	5	1	4	2
				–	3	2	9	9	0
						2	1	5	2	3
					–	1	9	7	9	4
							1	7	2	9

STEP 27: SUBTRACT 21523 - 19794 = 1729
				0	0	0	1	4	5	3
6	5	9	8	9	5	8	8	6	2	3
			–	0
				9	5
				–	0
				9	5	8
					–	0
				9	5	8	8
			–	6	5	9	8
				2	9	9	0	6
			–	2	6	3	9	2
					3	5	1	4	2
				–	3	2	9	9	0
						2	1	5	2	3
					–	1	9	7	9	4
							1	7	2	9

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