Question

What is the quotient and remainder when $ 21426609769 $ is divided by $ 56 $ ?

Answer

The quotient is 382618031 and the remainder is 33.

Explanation

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

STEP 0: set up a division table

5	6	2	1	4	2	6	6	0	9	7	6	9

STEP 1: DIVIDE 2 : 56 = 0 with a remainder of 2
		0
5	6	2	1	4	2	6	6	0	9	7	6	9

STEP 2: MULTIPLY 0 · 56 = 0
		0
5	6	2	1	4	2	6	6	0	9	7	6	9
		0

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

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

STEP 5: DIVIDE 21 : 56 = 0 with a remainder of 21
		0	0
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1

STEP 6: MULTIPLY 0 · 56 = 0
		0	0
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
			0

STEP 7: SUBTRACT 21 - 0 = 21
		0	0
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1

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

STEP 9: DIVIDE 214 : 56 = 3 with a remainder of 46
		0	0	3
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4

STEP 10: MULTIPLY 3 · 56 = 168
		0	0	3
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
		1	6	8

STEP 11: SUBTRACT 214 - 168 = 46
		0	0	3
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6

STEP 12: BRING DOWN
		0	0	3
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2

STEP 13: DIVIDE 462 : 56 = 8 with a remainder of 14
		0	0	3	8
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2

STEP 14: MULTIPLY 8 · 56 = 448
		0	0	3	8
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
			4	4	8

STEP 15: SUBTRACT 462 - 448 = 14
		0	0	3	8
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4

STEP 16: BRING DOWN
		0	0	3	8
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6

STEP 17: DIVIDE 146 : 56 = 2 with a remainder of 34
		0	0	3	8	2
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6

STEP 18: MULTIPLY 2 · 56 = 112
		0	0	3	8	2
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
				1	1	2

STEP 19: SUBTRACT 146 - 112 = 34
		0	0	3	8	2
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4

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

STEP 21: DIVIDE 346 : 56 = 6 with a remainder of 10
		0	0	3	8	2	6
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6

STEP 22: MULTIPLY 6 · 56 = 336
		0	0	3	8	2	6
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
					3	3	6

STEP 23: SUBTRACT 346 - 336 = 10
		0	0	3	8	2	6
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0

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

STEP 25: DIVIDE 100 : 56 = 1 with a remainder of 44
		0	0	3	8	2	6	1
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0

STEP 26: MULTIPLY 1 · 56 = 56
		0	0	3	8	2	6	1
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
							5	6

STEP 27: SUBTRACT 100 - 56 = 44
		0	0	3	8	2	6	1
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4

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

STEP 29: DIVIDE 449 : 56 = 8 with a remainder of 1
		0	0	3	8	2	6	1	8
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9

STEP 30: MULTIPLY 8 · 56 = 448
		0	0	3	8	2	6	1	8
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9
							4	4	8

STEP 31: SUBTRACT 449 - 448 = 1
		0	0	3	8	2	6	1	8
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9
						–	4	4	8
									1

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

STEP 33: DIVIDE 17 : 56 = 0 with a remainder of 17
		0	0	3	8	2	6	1	8	0
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9
						–	4	4	8
									1	7

STEP 34: MULTIPLY 0 · 56 = 0
		0	0	3	8	2	6	1	8	0
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9
						–	4	4	8
									1	7
										0

STEP 35: SUBTRACT 17 - 0 = 17
		0	0	3	8	2	6	1	8	0
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9
						–	4	4	8
									1	7
									–	0
									1	7

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

STEP 37: DIVIDE 176 : 56 = 3 with a remainder of 8
		0	0	3	8	2	6	1	8	0	3
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9
						–	4	4	8
									1	7
									–	0
									1	7	6

STEP 38: MULTIPLY 3 · 56 = 168
		0	0	3	8	2	6	1	8	0	3
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9
						–	4	4	8
									1	7
									–	0
									1	7	6
									1	6	8

STEP 39: SUBTRACT 176 - 168 = 8
		0	0	3	8	2	6	1	8	0	3
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9
						–	4	4	8
									1	7
									–	0
									1	7	6
								–	1	6	8
											8

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

STEP 41: DIVIDE 89 : 56 = 1 with a remainder of 33
		0	0	3	8	2	6	1	8	0	3	1
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9
						–	4	4	8
									1	7
									–	0
									1	7	6
								–	1	6	8
											8	9

STEP 42: MULTIPLY 1 · 56 = 56
		0	0	3	8	2	6	1	8	0	3	1
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9
						–	4	4	8
									1	7
									–	0
									1	7	6
								–	1	6	8
											8	9
											5	6

STEP 43: SUBTRACT 89 - 56 = 33
		0	0	3	8	2	6	1	8	0	3	1
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9
						–	4	4	8
									1	7
									–	0
									1	7	6
								–	1	6	8
											8	9
										–	5	6
											3	3

STEP 43: SUBTRACT 89 - 56 = 33
		0	0	3	8	2	6	1	8	0	3	1
5	6	2	1	4	2	6	6	0	9	7	6	9
	–	0
		2	1
		–	0
		2	1	4
	–	1	6	8
			4	6	2
		–	4	4	8
				1	4	6
			–	1	1	2
					3	4	6
				–	3	3	6
						1	0	0
						–	5	6
							4	4	9
						–	4	4	8
									1	7
									–	0
									1	7	6
								–	1	6	8
											8	9
										–	5	6
											3	3

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