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Question

What is the quotient and remainder when $ 18264 $ is divided by $ 9857 $ ?

Answer

The quotient is 1 and the remainder is 8407.

Explanation

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

STEP 0: set up a division table

9	8	5	7	1	8	2	6	4

STEP 1: DIVIDE 1 : 9857 = 0 with a remainder of 1
				0
9	8	5	7	1	8	2	6	4

STEP 2: MULTIPLY 0 · 9857 = 0
				0
9	8	5	7	1	8	2	6	4
				0

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

STEP 4: BRING DOWN
				0
9	8	5	7	1	8	2	6	4
			–	0
				1	8

STEP 5: DIVIDE 18 : 9857 = 0 with a remainder of 18
				0	0
9	8	5	7	1	8	2	6	4
			–	0
				1	8

STEP 6: MULTIPLY 0 · 9857 = 0
				0	0
9	8	5	7	1	8	2	6	4
			–	0
				1	8
					0

STEP 7: SUBTRACT 18 - 0 = 18
				0	0
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8

STEP 8: BRING DOWN
				0	0
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2

STEP 9: DIVIDE 182 : 9857 = 0 with a remainder of 182
				0	0	0
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2

STEP 10: MULTIPLY 0 · 9857 = 0
				0	0	0
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2
						0

STEP 11: SUBTRACT 182 - 0 = 182
				0	0	0
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2
					–	0
				1	8	2

STEP 12: BRING DOWN
				0	0	0
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2
					–	0
				1	8	2	6

STEP 13: DIVIDE 1826 : 9857 = 0 with a remainder of 1826
				0	0	0	0
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2
					–	0
				1	8	2	6

STEP 14: MULTIPLY 0 · 9857 = 0
				0	0	0	0
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2
					–	0
				1	8	2	6
							0

STEP 15: SUBTRACT 1826 - 0 = 1826
				0	0	0	0
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2
					–	0
				1	8	2	6
						–	0
				1	8	2	6

STEP 16: BRING DOWN
				0	0	0	0
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2
					–	0
				1	8	2	6
						–	0
				1	8	2	6	4

STEP 17: DIVIDE 18264 : 9857 = 1 with a remainder of 8407
				0	0	0	0	1
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2
					–	0
				1	8	2	6
						–	0
				1	8	2	6	4

STEP 18: MULTIPLY 1 · 9857 = 9857
				0	0	0	0	1
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2
					–	0
				1	8	2	6
						–	0
				1	8	2	6	4
					9	8	5	7

STEP 19: SUBTRACT 18264 - 9857 = 8407
				0	0	0	0	1
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2
					–	0
				1	8	2	6
						–	0
				1	8	2	6	4
				–	9	8	5	7
					8	4	0	7

STEP 19: SUBTRACT 18264 - 9857 = 8407
				0	0	0	0	1
9	8	5	7	1	8	2	6	4
			–	0
				1	8
				–	0
				1	8	2
					–	0
				1	8	2	6
						–	0
				1	8	2	6	4
				–	9	8	5	7
					8	4	0	7

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