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Question

What is the quotient and remainder when $ 722348 $ is divided by $ 162 $ ?

Answer

The quotient is 4458 and the remainder is 152.

Explanation

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

STEP 0: set up a division table

1	6	2	7	2	2	3	4	8

STEP 1: DIVIDE 7 : 162 = 0 with a remainder of 7
			0
1	6	2	7	2	2	3	4	8

STEP 2: MULTIPLY 0 · 162 = 0
			0
1	6	2	7	2	2	3	4	8
			0

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

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

STEP 5: DIVIDE 72 : 162 = 0 with a remainder of 72
			0	0
1	6	2	7	2	2	3	4	8
		–	0
			7	2

STEP 6: MULTIPLY 0 · 162 = 0
			0	0
1	6	2	7	2	2	3	4	8
		–	0
			7	2
				0

STEP 7: SUBTRACT 72 - 0 = 72
			0	0
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2

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

STEP 9: DIVIDE 722 : 162 = 4 with a remainder of 74
			0	0	4
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2

STEP 10: MULTIPLY 4 · 162 = 648
			0	0	4
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
			6	4	8

STEP 11: SUBTRACT 722 - 648 = 74
			0	0	4
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4

STEP 12: BRING DOWN
			0	0	4
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4	3

STEP 13: DIVIDE 743 : 162 = 4 with a remainder of 95
			0	0	4	4
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4	3

STEP 14: MULTIPLY 4 · 162 = 648
			0	0	4	4
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4	3
				6	4	8

STEP 15: SUBTRACT 743 - 648 = 95
			0	0	4	4
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4	3
			–	6	4	8
					9	5

STEP 16: BRING DOWN
			0	0	4	4
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4	3
			–	6	4	8
					9	5	4

STEP 17: DIVIDE 954 : 162 = 5 with a remainder of 144
			0	0	4	4	5
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4	3
			–	6	4	8
					9	5	4

STEP 18: MULTIPLY 5 · 162 = 810
			0	0	4	4	5
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4	3
			–	6	4	8
					9	5	4
					8	1	0

STEP 19: SUBTRACT 954 - 810 = 144
			0	0	4	4	5
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4	3
			–	6	4	8
					9	5	4
				–	8	1	0
					1	4	4

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

STEP 21: DIVIDE 1448 : 162 = 8 with a remainder of 152
			0	0	4	4	5	8
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4	3
			–	6	4	8
					9	5	4
				–	8	1	0
					1	4	4	8

STEP 22: MULTIPLY 8 · 162 = 1296
			0	0	4	4	5	8
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4	3
			–	6	4	8
					9	5	4
				–	8	1	0
					1	4	4	8
					1	2	9	6

STEP 23: SUBTRACT 1448 - 1296 = 152
			0	0	4	4	5	8
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4	3
			–	6	4	8
					9	5	4
				–	8	1	0
					1	4	4	8
				–	1	2	9	6
						1	5	2

STEP 23: SUBTRACT 1448 - 1296 = 152
			0	0	4	4	5	8
1	6	2	7	2	2	3	4	8
		–	0
			7	2
			–	0
			7	2	2
		–	6	4	8
				7	4	3
			–	6	4	8
					9	5	4
				–	8	1	0
					1	4	4	8
				–	1	2	9	6
						1	5	2

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