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Question

What is the quotient and remainder when $ 300000000 $ is divided by $ 5866 $ ?

Answer

The quotient is 51142 and the remainder is 1028.

Explanation

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

STEP 0: set up a division table

5	8	6	6	3	0	0	0	0	0	0	0	0

STEP 1: DIVIDE 3 : 5866 = 0 with a remainder of 3
				0
5	8	6	6	3	0	0	0	0	0	0	0	0

STEP 2: MULTIPLY 0 · 5866 = 0
				0
5	8	6	6	3	0	0	0	0	0	0	0	0
				0

STEP 3: SUBTRACT 3 - 0 = 3
				0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3

STEP 4: BRING DOWN
				0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0

STEP 5: DIVIDE 30 : 5866 = 0 with a remainder of 30
				0	0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0

STEP 6: MULTIPLY 0 · 5866 = 0
				0	0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
					0

STEP 7: SUBTRACT 30 - 0 = 30
				0	0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0

STEP 8: BRING DOWN
				0	0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0

STEP 9: DIVIDE 300 : 5866 = 0 with a remainder of 300
				0	0	0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0

STEP 10: MULTIPLY 0 · 5866 = 0
				0	0	0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
						0

STEP 11: SUBTRACT 300 - 0 = 300
				0	0	0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0

STEP 12: BRING DOWN
				0	0	0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0

STEP 13: DIVIDE 3000 : 5866 = 0 with a remainder of 3000
				0	0	0	0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0

STEP 14: MULTIPLY 0 · 5866 = 0
				0	0	0	0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
							0

STEP 15: SUBTRACT 3000 - 0 = 3000
				0	0	0	0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0

STEP 16: BRING DOWN
				0	0	0	0
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0

STEP 17: DIVIDE 30000 : 5866 = 5 with a remainder of 670
				0	0	0	0	5
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0

STEP 18: MULTIPLY 5 · 5866 = 29330
				0	0	0	0	5
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
				2	9	3	3	0

STEP 19: SUBTRACT 30000 - 29330 = 670
				0	0	0	0	5
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0

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

STEP 21: DIVIDE 6700 : 5866 = 1 with a remainder of 834
				0	0	0	0	5	1
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0

STEP 22: MULTIPLY 1 · 5866 = 5866
				0	0	0	0	5	1
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0
						5	8	6	6

STEP 23: SUBTRACT 6700 - 5866 = 834
				0	0	0	0	5	1
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0
					–	5	8	6	6
							8	3	4

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

STEP 25: DIVIDE 8340 : 5866 = 1 with a remainder of 2474
				0	0	0	0	5	1	1
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0
					–	5	8	6	6
							8	3	4	0

STEP 26: MULTIPLY 1 · 5866 = 5866
				0	0	0	0	5	1	1
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0
					–	5	8	6	6
							8	3	4	0
							5	8	6	6

STEP 27: SUBTRACT 8340 - 5866 = 2474
				0	0	0	0	5	1	1
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0
					–	5	8	6	6
							8	3	4	0
						–	5	8	6	6
							2	4	7	4

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

STEP 29: DIVIDE 24740 : 5866 = 4 with a remainder of 1276
				0	0	0	0	5	1	1	4
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0
					–	5	8	6	6
							8	3	4	0
						–	5	8	6	6
							2	4	7	4	0

STEP 30: MULTIPLY 4 · 5866 = 23464
				0	0	0	0	5	1	1	4
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0
					–	5	8	6	6
							8	3	4	0
						–	5	8	6	6
							2	4	7	4	0
							2	3	4	6	4

STEP 31: SUBTRACT 24740 - 23464 = 1276
				0	0	0	0	5	1	1	4
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0
					–	5	8	6	6
							8	3	4	0
						–	5	8	6	6
							2	4	7	4	0
						–	2	3	4	6	4
								1	2	7	6

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

STEP 33: DIVIDE 12760 : 5866 = 2 with a remainder of 1028
				0	0	0	0	5	1	1	4	2
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0
					–	5	8	6	6
							8	3	4	0
						–	5	8	6	6
							2	4	7	4	0
						–	2	3	4	6	4
								1	2	7	6	0

STEP 34: MULTIPLY 2 · 5866 = 11732
				0	0	0	0	5	1	1	4	2
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0
					–	5	8	6	6
							8	3	4	0
						–	5	8	6	6
							2	4	7	4	0
						–	2	3	4	6	4
								1	2	7	6	0
								1	1	7	3	2

STEP 35: SUBTRACT 12760 - 11732 = 1028
				0	0	0	0	5	1	1	4	2
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0
					–	5	8	6	6
							8	3	4	0
						–	5	8	6	6
							2	4	7	4	0
						–	2	3	4	6	4
								1	2	7	6	0
							–	1	1	7	3	2
									1	0	2	8

STEP 35: SUBTRACT 12760 - 11732 = 1028
				0	0	0	0	5	1	1	4	2
5	8	6	6	3	0	0	0	0	0	0	0	0
			–	0
				3	0
				–	0
				3	0	0
					–	0
				3	0	0	0
						–	0
				3	0	0	0	0
			–	2	9	3	3	0
						6	7	0	0
					–	5	8	6	6
							8	3	4	0
						–	5	8	6	6
							2	4	7	4	0
						–	2	3	4	6	4
								1	2	7	6	0
							–	1	1	7	3	2
									1	0	2	8

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