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Question

What is the quotient and remainder when $ 272826 $ is divided by $ 207 $ ?

Answer

The quotient is 1318 and the remainder is 0.

Explanation

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

STEP 0: set up a division table

2	0	7	2	7	2	8	2	6

STEP 1: DIVIDE 2 : 207 = 0 with a remainder of 2
			0
2	0	7	2	7	2	8	2	6

STEP 2: MULTIPLY 0 · 207 = 0
			0
2	0	7	2	7	2	8	2	6
			0

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

STEP 4: BRING DOWN
			0
2	0	7	2	7	2	8	2	6
		–	0
			2	7

STEP 5: DIVIDE 27 : 207 = 0 with a remainder of 27
			0	0
2	0	7	2	7	2	8	2	6
		–	0
			2	7

STEP 6: MULTIPLY 0 · 207 = 0
			0	0
2	0	7	2	7	2	8	2	6
		–	0
			2	7
				0

STEP 7: SUBTRACT 27 - 0 = 27
			0	0
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7

STEP 8: BRING DOWN
			0	0
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2

STEP 9: DIVIDE 272 : 207 = 1 with a remainder of 65
			0	0	1
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2

STEP 10: MULTIPLY 1 · 207 = 207
			0	0	1
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2
			2	0	7

STEP 11: SUBTRACT 272 - 207 = 65
			0	0	1
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2
		–	2	0	7
				6	5

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

STEP 13: DIVIDE 658 : 207 = 3 with a remainder of 37
			0	0	1	3
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2
		–	2	0	7
				6	5	8

STEP 14: MULTIPLY 3 · 207 = 621
			0	0	1	3
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2
		–	2	0	7
				6	5	8
				6	2	1

STEP 15: SUBTRACT 658 - 621 = 37
			0	0	1	3
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2
		–	2	0	7
				6	5	8
			–	6	2	1
					3	7

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

STEP 17: DIVIDE 372 : 207 = 1 with a remainder of 165
			0	0	1	3	1
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2
		–	2	0	7
				6	5	8
			–	6	2	1
					3	7	2

STEP 18: MULTIPLY 1 · 207 = 207
			0	0	1	3	1
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2
		–	2	0	7
				6	5	8
			–	6	2	1
					3	7	2
					2	0	7

STEP 19: SUBTRACT 372 - 207 = 165
			0	0	1	3	1
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2
		–	2	0	7
				6	5	8
			–	6	2	1
					3	7	2
				–	2	0	7
					1	6	5

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

STEP 21: DIVIDE 1656 : 207 = 8 with a remainder of 0
			0	0	1	3	1	8
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2
		–	2	0	7
				6	5	8
			–	6	2	1
					3	7	2
				–	2	0	7
					1	6	5	6

STEP 22: MULTIPLY 8 · 207 = 1656
			0	0	1	3	1	8
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2
		–	2	0	7
				6	5	8
			–	6	2	1
					3	7	2
				–	2	0	7
					1	6	5	6
					1	6	5	6

STEP 23: SUBTRACT 1656 - 1656 = 0
			0	0	1	3	1	8
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2
		–	2	0	7
				6	5	8
			–	6	2	1
					3	7	2
				–	2	0	7
					1	6	5	6
				–	1	6	5	6
								0

STEP 23: SUBTRACT 1656 - 1656 = 0
			0	0	1	3	1	8
2	0	7	2	7	2	8	2	6
		–	0
			2	7
			–	0
			2	7	2
		–	2	0	7
				6	5	8
			–	6	2	1
					3	7	2
				–	2	0	7
					1	6	5	6
				–	1	6	5	6
								0

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