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Question

What is the quotient and remainder when $ 465686695 $ is divided by $ 56798 $ ?

Answer

The quotient is 8198 and the remainder is 56691.

Explanation

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

STEP 0: set up a division table

5	6	7	9	8	4	6	5	6	8	6	6	9	5

STEP 1: DIVIDE 4 : 56798 = 0 with a remainder of 4
					0
5	6	7	9	8	4	6	5	6	8	6	6	9	5

STEP 2: MULTIPLY 0 · 56798 = 0
					0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
					0

STEP 3: SUBTRACT 4 - 0 = 4
					0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4

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

STEP 5: DIVIDE 46 : 56798 = 0 with a remainder of 46
					0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6

STEP 6: MULTIPLY 0 · 56798 = 0
					0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
						0

STEP 7: SUBTRACT 46 - 0 = 46
					0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6

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

STEP 9: DIVIDE 465 : 56798 = 0 with a remainder of 465
					0	0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5

STEP 10: MULTIPLY 0 · 56798 = 0
					0	0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
							0

STEP 11: SUBTRACT 465 - 0 = 465
					0	0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5

STEP 12: BRING DOWN
					0	0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6

STEP 13: DIVIDE 4656 : 56798 = 0 with a remainder of 4656
					0	0	0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6

STEP 14: MULTIPLY 0 · 56798 = 0
					0	0	0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
								0

STEP 15: SUBTRACT 4656 - 0 = 4656
					0	0	0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6

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

STEP 17: DIVIDE 46568 : 56798 = 0 with a remainder of 46568
					0	0	0	0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8

STEP 18: MULTIPLY 0 · 56798 = 0
					0	0	0	0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
									0

STEP 19: SUBTRACT 46568 - 0 = 46568
					0	0	0	0	0
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8

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

STEP 21: DIVIDE 465686 : 56798 = 8 with a remainder of 11302
					0	0	0	0	0	8
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6

STEP 22: MULTIPLY 8 · 56798 = 454384
					0	0	0	0	0	8
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6
					4	5	4	3	8	4

STEP 23: SUBTRACT 465686 - 454384 = 11302
					0	0	0	0	0	8
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6
				–	4	5	4	3	8	4
						1	1	3	0	2

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

STEP 25: DIVIDE 113026 : 56798 = 1 with a remainder of 56228
					0	0	0	0	0	8	1
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6
				–	4	5	4	3	8	4
						1	1	3	0	2	6

STEP 26: MULTIPLY 1 · 56798 = 56798
					0	0	0	0	0	8	1
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6
				–	4	5	4	3	8	4
						1	1	3	0	2	6
							5	6	7	9	8

STEP 27: SUBTRACT 113026 - 56798 = 56228
					0	0	0	0	0	8	1
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6
				–	4	5	4	3	8	4
						1	1	3	0	2	6
						–	5	6	7	9	8
							5	6	2	2	8

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

STEP 29: DIVIDE 562289 : 56798 = 9 with a remainder of 51107
					0	0	0	0	0	8	1	9
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6
				–	4	5	4	3	8	4
						1	1	3	0	2	6
						–	5	6	7	9	8
							5	6	2	2	8	9

STEP 30: MULTIPLY 9 · 56798 = 511182
					0	0	0	0	0	8	1	9
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6
				–	4	5	4	3	8	4
						1	1	3	0	2	6
						–	5	6	7	9	8
							5	6	2	2	8	9
							5	1	1	1	8	2

STEP 31: SUBTRACT 562289 - 511182 = 51107
					0	0	0	0	0	8	1	9
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6
				–	4	5	4	3	8	4
						1	1	3	0	2	6
						–	5	6	7	9	8
							5	6	2	2	8	9
						–	5	1	1	1	8	2
								5	1	1	0	7

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

STEP 33: DIVIDE 511075 : 56798 = 8 with a remainder of 56691
					0	0	0	0	0	8	1	9	8
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6
				–	4	5	4	3	8	4
						1	1	3	0	2	6
						–	5	6	7	9	8
							5	6	2	2	8	9
						–	5	1	1	1	8	2
								5	1	1	0	7	5

STEP 34: MULTIPLY 8 · 56798 = 454384
					0	0	0	0	0	8	1	9	8
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6
				–	4	5	4	3	8	4
						1	1	3	0	2	6
						–	5	6	7	9	8
							5	6	2	2	8	9
						–	5	1	1	1	8	2
								5	1	1	0	7	5
								4	5	4	3	8	4

STEP 35: SUBTRACT 511075 - 454384 = 56691
					0	0	0	0	0	8	1	9	8
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6
				–	4	5	4	3	8	4
						1	1	3	0	2	6
						–	5	6	7	9	8
							5	6	2	2	8	9
						–	5	1	1	1	8	2
								5	1	1	0	7	5
							–	4	5	4	3	8	4
									5	6	6	9	1

STEP 35: SUBTRACT 511075 - 454384 = 56691
					0	0	0	0	0	8	1	9	8
5	6	7	9	8	4	6	5	6	8	6	6	9	5
				–	0
					4	6
					–	0
					4	6	5
						–	0
					4	6	5	6
							–	0
					4	6	5	6	8
								–	0
					4	6	5	6	8	6
				–	4	5	4	3	8	4
						1	1	3	0	2	6
						–	5	6	7	9	8
							5	6	2	2	8	9
						–	5	1	1	1	8	2
								5	1	1	0	7	5
							–	4	5	4	3	8	4
									5	6	6	9	1

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