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Question

What is the quotient and remainder when $ 128000000 $ is divided by $ 95 $ ?

Answer

The quotient is 1347368 and the remainder is 40.

Explanation

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

STEP 0: set up a division table

9	5	1	2	8	0	0	0	0	0	0

STEP 1: DIVIDE 1 : 95 = 0 with a remainder of 1
		0
9	5	1	2	8	0	0	0	0	0	0

STEP 2: MULTIPLY 0 · 95 = 0
		0
9	5	1	2	8	0	0	0	0	0	0
		0

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

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

STEP 5: DIVIDE 12 : 95 = 0 with a remainder of 12
		0	0
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2

STEP 6: MULTIPLY 0 · 95 = 0
		0	0
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
			0

STEP 7: SUBTRACT 12 - 0 = 12
		0	0
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2

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

STEP 9: DIVIDE 128 : 95 = 1 with a remainder of 33
		0	0	1
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8

STEP 10: MULTIPLY 1 · 95 = 95
		0	0	1
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
			9	5

STEP 11: SUBTRACT 128 - 95 = 33
		0	0	1
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3

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

STEP 13: DIVIDE 330 : 95 = 3 with a remainder of 45
		0	0	1	3
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0

STEP 14: MULTIPLY 3 · 95 = 285
		0	0	1	3
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
			2	8	5

STEP 15: SUBTRACT 330 - 285 = 45
		0	0	1	3
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5

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

STEP 17: DIVIDE 450 : 95 = 4 with a remainder of 70
		0	0	1	3	4
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0

STEP 18: MULTIPLY 4 · 95 = 380
		0	0	1	3	4
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
				3	8	0

STEP 19: SUBTRACT 450 - 380 = 70
		0	0	1	3	4
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0

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

STEP 21: DIVIDE 700 : 95 = 7 with a remainder of 35
		0	0	1	3	4	7
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0

STEP 22: MULTIPLY 7 · 95 = 665
		0	0	1	3	4	7
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
					6	6	5

STEP 23: SUBTRACT 700 - 665 = 35
		0	0	1	3	4	7
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5

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

STEP 25: DIVIDE 350 : 95 = 3 with a remainder of 65
		0	0	1	3	4	7	3
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5	0

STEP 26: MULTIPLY 3 · 95 = 285
		0	0	1	3	4	7	3
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5	0
						2	8	5

STEP 27: SUBTRACT 350 - 285 = 65
		0	0	1	3	4	7	3
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5	0
					–	2	8	5
							6	5

STEP 28: BRING DOWN
		0	0	1	3	4	7	3
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5	0
					–	2	8	5
							6	5	0

STEP 29: DIVIDE 650 : 95 = 6 with a remainder of 80
		0	0	1	3	4	7	3	6
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5	0
					–	2	8	5
							6	5	0

STEP 30: MULTIPLY 6 · 95 = 570
		0	0	1	3	4	7	3	6
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5	0
					–	2	8	5
							6	5	0
							5	7	0

STEP 31: SUBTRACT 650 - 570 = 80
		0	0	1	3	4	7	3	6
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5	0
					–	2	8	5
							6	5	0
						–	5	7	0
								8	0

STEP 32: BRING DOWN
		0	0	1	3	4	7	3	6
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5	0
					–	2	8	5
							6	5	0
						–	5	7	0
								8	0	0

STEP 33: DIVIDE 800 : 95 = 8 with a remainder of 40
		0	0	1	3	4	7	3	6	8
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5	0
					–	2	8	5
							6	5	0
						–	5	7	0
								8	0	0

STEP 34: MULTIPLY 8 · 95 = 760
		0	0	1	3	4	7	3	6	8
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5	0
					–	2	8	5
							6	5	0
						–	5	7	0
								8	0	0
								7	6	0

STEP 35: SUBTRACT 800 - 760 = 40
		0	0	1	3	4	7	3	6	8
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5	0
					–	2	8	5
							6	5	0
						–	5	7	0
								8	0	0
							–	7	6	0
									4	0

STEP 35: SUBTRACT 800 - 760 = 40
		0	0	1	3	4	7	3	6	8
9	5	1	2	8	0	0	0	0	0	0
	–	0
		1	2
		–	0
		1	2	8
		–	9	5
			3	3	0
		–	2	8	5
				4	5	0
			–	3	8	0
					7	0	0
				–	6	6	5
						3	5	0
					–	2	8	5
							6	5	0
						–	5	7	0
								8	0	0
							–	7	6	0
									4	0

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