Question

What is the quotient and remainder when $ 92233720368 $ is divided by $ 253 $ ?

Answer

The quotient is 364560159 and the remainder is 141.

Explanation

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

STEP 0: set up a division table

2	5	3	9	2	2	3	3	7	2	0	3	6	8

STEP 1: DIVIDE 9 : 253 = 0 with a remainder of 9
			0
2	5	3	9	2	2	3	3	7	2	0	3	6	8

STEP 2: MULTIPLY 0 · 253 = 0
			0
2	5	3	9	2	2	3	3	7	2	0	3	6	8
			0

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

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

STEP 5: DIVIDE 92 : 253 = 0 with a remainder of 92
			0	0
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2

STEP 6: MULTIPLY 0 · 253 = 0
			0	0
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
				0

STEP 7: SUBTRACT 92 - 0 = 92
			0	0
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2

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

STEP 9: DIVIDE 922 : 253 = 3 with a remainder of 163
			0	0	3
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2

STEP 10: MULTIPLY 3 · 253 = 759
			0	0	3
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
			7	5	9

STEP 11: SUBTRACT 922 - 759 = 163
			0	0	3
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3

STEP 12: BRING DOWN
			0	0	3
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3

STEP 13: DIVIDE 1633 : 253 = 6 with a remainder of 115
			0	0	3	6
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3

STEP 14: MULTIPLY 6 · 253 = 1518
			0	0	3	6
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
			1	5	1	8

STEP 15: SUBTRACT 1633 - 1518 = 115
			0	0	3	6
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5

STEP 16: BRING DOWN
			0	0	3	6
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3

STEP 17: DIVIDE 1153 : 253 = 4 with a remainder of 141
			0	0	3	6	4
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3

STEP 18: MULTIPLY 4 · 253 = 1012
			0	0	3	6	4
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
				1	0	1	2

STEP 19: SUBTRACT 1153 - 1012 = 141
			0	0	3	6	4
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1

STEP 20: BRING DOWN
			0	0	3	6	4
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7

STEP 21: DIVIDE 1417 : 253 = 5 with a remainder of 152
			0	0	3	6	4	5
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7

STEP 22: MULTIPLY 5 · 253 = 1265
			0	0	3	6	4	5
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
					1	2	6	5

STEP 23: SUBTRACT 1417 - 1265 = 152
			0	0	3	6	4	5
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2

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

STEP 25: DIVIDE 1522 : 253 = 6 with a remainder of 4
			0	0	3	6	4	5	6
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2

STEP 26: MULTIPLY 6 · 253 = 1518
			0	0	3	6	4	5	6
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
						1	5	1	8

STEP 27: SUBTRACT 1522 - 1518 = 4
			0	0	3	6	4	5	6
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4

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

STEP 29: DIVIDE 40 : 253 = 0 with a remainder of 40
			0	0	3	6	4	5	6	0
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0

STEP 30: MULTIPLY 0 · 253 = 0
			0	0	3	6	4	5	6	0
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
										0

STEP 31: SUBTRACT 40 - 0 = 40
			0	0	3	6	4	5	6	0
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0

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

STEP 33: DIVIDE 403 : 253 = 1 with a remainder of 150
			0	0	3	6	4	5	6	0	1
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0	3

STEP 34: MULTIPLY 1 · 253 = 253
			0	0	3	6	4	5	6	0	1
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0	3
									2	5	3

STEP 35: SUBTRACT 403 - 253 = 150
			0	0	3	6	4	5	6	0	1
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0	3
								–	2	5	3
									1	5	0

STEP 36: BRING DOWN
			0	0	3	6	4	5	6	0	1
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0	3
								–	2	5	3
									1	5	0	6

STEP 37: DIVIDE 1506 : 253 = 5 with a remainder of 241
			0	0	3	6	4	5	6	0	1	5
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0	3
								–	2	5	3
									1	5	0	6

STEP 38: MULTIPLY 5 · 253 = 1265
			0	0	3	6	4	5	6	0	1	5
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0	3
								–	2	5	3
									1	5	0	6
									1	2	6	5

STEP 39: SUBTRACT 1506 - 1265 = 241
			0	0	3	6	4	5	6	0	1	5
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0	3
								–	2	5	3
									1	5	0	6
								–	1	2	6	5
										2	4	1

STEP 40: BRING DOWN
			0	0	3	6	4	5	6	0	1	5
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0	3
								–	2	5	3
									1	5	0	6
								–	1	2	6	5
										2	4	1	8

STEP 41: DIVIDE 2418 : 253 = 9 with a remainder of 141
			0	0	3	6	4	5	6	0	1	5	9
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0	3
								–	2	5	3
									1	5	0	6
								–	1	2	6	5
										2	4	1	8

STEP 42: MULTIPLY 9 · 253 = 2277
			0	0	3	6	4	5	6	0	1	5	9
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0	3
								–	2	5	3
									1	5	0	6
								–	1	2	6	5
										2	4	1	8
										2	2	7	7

STEP 43: SUBTRACT 2418 - 2277 = 141
			0	0	3	6	4	5	6	0	1	5	9
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0	3
								–	2	5	3
									1	5	0	6
								–	1	2	6	5
										2	4	1	8
									–	2	2	7	7
											1	4	1

STEP 43: SUBTRACT 2418 - 2277 = 141
			0	0	3	6	4	5	6	0	1	5	9
2	5	3	9	2	2	3	3	7	2	0	3	6	8
		–	0
			9	2
			–	0
			9	2	2
		–	7	5	9
			1	6	3	3
		–	1	5	1	8
				1	1	5	3
			–	1	0	1	2
					1	4	1	7
				–	1	2	6	5
						1	5	2	2
					–	1	5	1	8
									4	0
									–	0
									4	0	3
								–	2	5	3
									1	5	0	6
								–	1	2	6	5
										2	4	1	8
									–	2	2	7	7
											1	4	1

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