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Question

What is the quotient and remainder when $ 21622000 $ is divided by $ 201 $ ?

Answer

The quotient is 107572 and the remainder is 28.

Explanation

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

STEP 0: set up a division table

2	0	1	2	1	6	2	2	0	0	0

STEP 1: DIVIDE 2 : 201 = 0 with a remainder of 2
			0
2	0	1	2	1	6	2	2	0	0	0

STEP 2: MULTIPLY 0 · 201 = 0
			0
2	0	1	2	1	6	2	2	0	0	0
			0

STEP 3: SUBTRACT 2 - 0 = 2
			0
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2

STEP 4: BRING DOWN
			0
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1

STEP 5: DIVIDE 21 : 201 = 0 with a remainder of 21
			0	0
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1

STEP 6: MULTIPLY 0 · 201 = 0
			0	0
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
				0

STEP 7: SUBTRACT 21 - 0 = 21
			0	0
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1

STEP 8: BRING DOWN
			0	0
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6

STEP 9: DIVIDE 216 : 201 = 1 with a remainder of 15
			0	0	1
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6

STEP 10: MULTIPLY 1 · 201 = 201
			0	0	1
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
			2	0	1

STEP 11: SUBTRACT 216 - 201 = 15
			0	0	1
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5

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

STEP 13: DIVIDE 152 : 201 = 0 with a remainder of 152
			0	0	1	0
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2

STEP 14: MULTIPLY 0 · 201 = 0
			0	0	1	0
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
						0

STEP 15: SUBTRACT 152 - 0 = 152
			0	0	1	0
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2

STEP 16: BRING DOWN
			0	0	1	0
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2

STEP 17: DIVIDE 1522 : 201 = 7 with a remainder of 115
			0	0	1	0	7
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2

STEP 18: MULTIPLY 7 · 201 = 1407
			0	0	1	0	7
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
				1	4	0	7

STEP 19: SUBTRACT 1522 - 1407 = 115
			0	0	1	0	7
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
			–	1	4	0	7
					1	1	5

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

STEP 21: DIVIDE 1150 : 201 = 5 with a remainder of 145
			0	0	1	0	7	5
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
			–	1	4	0	7
					1	1	5	0

STEP 22: MULTIPLY 5 · 201 = 1005
			0	0	1	0	7	5
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
			–	1	4	0	7
					1	1	5	0
					1	0	0	5

STEP 23: SUBTRACT 1150 - 1005 = 145
			0	0	1	0	7	5
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
			–	1	4	0	7
					1	1	5	0
				–	1	0	0	5
						1	4	5

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

STEP 25: DIVIDE 1450 : 201 = 7 with a remainder of 43
			0	0	1	0	7	5	7
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
			–	1	4	0	7
					1	1	5	0
				–	1	0	0	5
						1	4	5	0

STEP 26: MULTIPLY 7 · 201 = 1407
			0	0	1	0	7	5	7
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
			–	1	4	0	7
					1	1	5	0
				–	1	0	0	5
						1	4	5	0
						1	4	0	7

STEP 27: SUBTRACT 1450 - 1407 = 43
			0	0	1	0	7	5	7
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
			–	1	4	0	7
					1	1	5	0
				–	1	0	0	5
						1	4	5	0
					–	1	4	0	7
								4	3

STEP 28: BRING DOWN
			0	0	1	0	7	5	7
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
			–	1	4	0	7
					1	1	5	0
				–	1	0	0	5
						1	4	5	0
					–	1	4	0	7
								4	3	0

STEP 29: DIVIDE 430 : 201 = 2 with a remainder of 28
			0	0	1	0	7	5	7	2
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
			–	1	4	0	7
					1	1	5	0
				–	1	0	0	5
						1	4	5	0
					–	1	4	0	7
								4	3	0

STEP 30: MULTIPLY 2 · 201 = 402
			0	0	1	0	7	5	7	2
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
			–	1	4	0	7
					1	1	5	0
				–	1	0	0	5
						1	4	5	0
					–	1	4	0	7
								4	3	0
								4	0	2

STEP 31: SUBTRACT 430 - 402 = 28
			0	0	1	0	7	5	7	2
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
			–	1	4	0	7
					1	1	5	0
				–	1	0	0	5
						1	4	5	0
					–	1	4	0	7
								4	3	0
							–	4	0	2
									2	8

STEP 31: SUBTRACT 430 - 402 = 28
			0	0	1	0	7	5	7	2
2	0	1	2	1	6	2	2	0	0	0
		–	0
			2	1
			–	0
			2	1	6
		–	2	0	1
				1	5	2
					–	0
				1	5	2	2
			–	1	4	0	7
					1	1	5	0
				–	1	0	0	5
						1	4	5	0
					–	1	4	0	7
								4	3	0
							–	4	0	2
									2	8

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