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Question

What is the quotient and remainder when $ 9128345 $ is divided by $ 385 $ ?

Answer

The quotient is 23709 and the remainder is 380.

Explanation

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

STEP 0: set up a division table

3	8	5	9	1	2	8	3	4	5

STEP 1: DIVIDE 9 : 385 = 0 with a remainder of 9
			0
3	8	5	9	1	2	8	3	4	5

STEP 2: MULTIPLY 0 · 385 = 0
			0
3	8	5	9	1	2	8	3	4	5
			0

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

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

STEP 5: DIVIDE 91 : 385 = 0 with a remainder of 91
			0	0
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1

STEP 6: MULTIPLY 0 · 385 = 0
			0	0
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
				0

STEP 7: SUBTRACT 91 - 0 = 91
			0	0
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1

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

STEP 9: DIVIDE 912 : 385 = 2 with a remainder of 142
			0	0	2
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2

STEP 10: MULTIPLY 2 · 385 = 770
			0	0	2
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
			7	7	0

STEP 11: SUBTRACT 912 - 770 = 142
			0	0	2
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2

STEP 12: BRING DOWN
			0	0	2
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8

STEP 13: DIVIDE 1428 : 385 = 3 with a remainder of 273
			0	0	2	3
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8

STEP 14: MULTIPLY 3 · 385 = 1155
			0	0	2	3
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
			1	1	5	5

STEP 15: SUBTRACT 1428 - 1155 = 273
			0	0	2	3
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3

STEP 16: BRING DOWN
			0	0	2	3
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3

STEP 17: DIVIDE 2733 : 385 = 7 with a remainder of 38
			0	0	2	3	7
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3

STEP 18: MULTIPLY 7 · 385 = 2695
			0	0	2	3	7
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3
				2	6	9	5

STEP 19: SUBTRACT 2733 - 2695 = 38
			0	0	2	3	7
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3
			–	2	6	9	5
						3	8

STEP 20: BRING DOWN
			0	0	2	3	7
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3
			–	2	6	9	5
						3	8	4

STEP 21: DIVIDE 384 : 385 = 0 with a remainder of 384
			0	0	2	3	7	0
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3
			–	2	6	9	5
						3	8	4

STEP 22: MULTIPLY 0 · 385 = 0
			0	0	2	3	7	0
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3
			–	2	6	9	5
						3	8	4
								0

STEP 23: SUBTRACT 384 - 0 = 384
			0	0	2	3	7	0
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3
			–	2	6	9	5
						3	8	4
							–	0
						3	8	4

STEP 24: BRING DOWN
			0	0	2	3	7	0
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3
			–	2	6	9	5
						3	8	4
							–	0
						3	8	4	5

STEP 25: DIVIDE 3845 : 385 = 9 with a remainder of 380
			0	0	2	3	7	0	9
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3
			–	2	6	9	5
						3	8	4
							–	0
						3	8	4	5

STEP 26: MULTIPLY 9 · 385 = 3465
			0	0	2	3	7	0	9
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3
			–	2	6	9	5
						3	8	4
							–	0
						3	8	4	5
						3	4	6	5

STEP 27: SUBTRACT 3845 - 3465 = 380
			0	0	2	3	7	0	9
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3
			–	2	6	9	5
						3	8	4
							–	0
						3	8	4	5
					–	3	4	6	5
							3	8	0

STEP 27: SUBTRACT 3845 - 3465 = 380
			0	0	2	3	7	0	9
3	8	5	9	1	2	8	3	4	5
		–	0
			9	1
			–	0
			9	1	2
		–	7	7	0
			1	4	2	8
		–	1	1	5	5
				2	7	3	3
			–	2	6	9	5
						3	8	4
							–	0
						3	8	4	5
					–	3	4	6	5
							3	8	0

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