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Question

What is the quotient and remainder when $ 968807215 $ is divided by $ 100000 $ ?

Answer

The quotient is 9688 and the remainder is 7215.

Explanation

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

STEP 0: set up a division table

1	0	0	0	0	0	9	6	8	8	0	7	2	1	5

STEP 1: DIVIDE 9 : 100000 = 0 with a remainder of 9
						0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5

STEP 2: MULTIPLY 0 · 100000 = 0
						0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
						0

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

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

STEP 5: DIVIDE 96 : 100000 = 0 with a remainder of 96
						0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6

STEP 6: MULTIPLY 0 · 100000 = 0
						0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
							0

STEP 7: SUBTRACT 96 - 0 = 96
						0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6

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

STEP 9: DIVIDE 968 : 100000 = 0 with a remainder of 968
						0	0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8

STEP 10: MULTIPLY 0 · 100000 = 0
						0	0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
								0

STEP 11: SUBTRACT 968 - 0 = 968
						0	0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8

STEP 12: BRING DOWN
						0	0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8

STEP 13: DIVIDE 9688 : 100000 = 0 with a remainder of 9688
						0	0	0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8

STEP 14: MULTIPLY 0 · 100000 = 0
						0	0	0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
									0

STEP 15: SUBTRACT 9688 - 0 = 9688
						0	0	0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8

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

STEP 17: DIVIDE 96880 : 100000 = 0 with a remainder of 96880
						0	0	0	0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0

STEP 18: MULTIPLY 0 · 100000 = 0
						0	0	0	0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
										0

STEP 19: SUBTRACT 96880 - 0 = 96880
						0	0	0	0	0
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0

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

STEP 21: DIVIDE 968807 : 100000 = 9 with a remainder of 68807
						0	0	0	0	0	9
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7

STEP 22: MULTIPLY 9 · 100000 = 900000
						0	0	0	0	0	9
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7
						9	0	0	0	0	0

STEP 23: SUBTRACT 968807 - 900000 = 68807
						0	0	0	0	0	9
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7
					–	9	0	0	0	0	0
							6	8	8	0	7

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

STEP 25: DIVIDE 688072 : 100000 = 6 with a remainder of 88072
						0	0	0	0	0	9	6
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7
					–	9	0	0	0	0	0
							6	8	8	0	7	2

STEP 26: MULTIPLY 6 · 100000 = 600000
						0	0	0	0	0	9	6
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7
					–	9	0	0	0	0	0
							6	8	8	0	7	2
							6	0	0	0	0	0

STEP 27: SUBTRACT 688072 - 600000 = 88072
						0	0	0	0	0	9	6
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7
					–	9	0	0	0	0	0
							6	8	8	0	7	2
						–	6	0	0	0	0	0
								8	8	0	7	2

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

STEP 29: DIVIDE 880721 : 100000 = 8 with a remainder of 80721
						0	0	0	0	0	9	6	8
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7
					–	9	0	0	0	0	0
							6	8	8	0	7	2
						–	6	0	0	0	0	0
								8	8	0	7	2	1

STEP 30: MULTIPLY 8 · 100000 = 800000
						0	0	0	0	0	9	6	8
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7
					–	9	0	0	0	0	0
							6	8	8	0	7	2
						–	6	0	0	0	0	0
								8	8	0	7	2	1
								8	0	0	0	0	0

STEP 31: SUBTRACT 880721 - 800000 = 80721
						0	0	0	0	0	9	6	8
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7
					–	9	0	0	0	0	0
							6	8	8	0	7	2
						–	6	0	0	0	0	0
								8	8	0	7	2	1
							–	8	0	0	0	0	0
									8	0	7	2	1

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

STEP 33: DIVIDE 807215 : 100000 = 8 with a remainder of 7215
						0	0	0	0	0	9	6	8	8
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7
					–	9	0	0	0	0	0
							6	8	8	0	7	2
						–	6	0	0	0	0	0
								8	8	0	7	2	1
							–	8	0	0	0	0	0
									8	0	7	2	1	5

STEP 34: MULTIPLY 8 · 100000 = 800000
						0	0	0	0	0	9	6	8	8
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7
					–	9	0	0	0	0	0
							6	8	8	0	7	2
						–	6	0	0	0	0	0
								8	8	0	7	2	1
							–	8	0	0	0	0	0
									8	0	7	2	1	5
									8	0	0	0	0	0

STEP 35: SUBTRACT 807215 - 800000 = 7215
						0	0	0	0	0	9	6	8	8
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7
					–	9	0	0	0	0	0
							6	8	8	0	7	2
						–	6	0	0	0	0	0
								8	8	0	7	2	1
							–	8	0	0	0	0	0
									8	0	7	2	1	5
								–	8	0	0	0	0	0
											7	2	1	5

STEP 35: SUBTRACT 807215 - 800000 = 7215
						0	0	0	0	0	9	6	8	8
1	0	0	0	0	0	9	6	8	8	0	7	2	1	5
					–	0
						9	6
						–	0
						9	6	8
							–	0
						9	6	8	8
								–	0
						9	6	8	8	0
									–	0
						9	6	8	8	0	7
					–	9	0	0	0	0	0
							6	8	8	0	7	2
						–	6	0	0	0	0	0
								8	8	0	7	2	1
							–	8	0	0	0	0	0
									8	0	7	2	1	5
								–	8	0	0	0	0	0
											7	2	1	5

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