Question

What is the quotient and remainder when $ 52136417646 $ is divided by $ 6 $ ?

Answer

The quotient is 8689402941 and the remainder is 0.

Explanation

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

STEP 0: set up a division table

6	5	2	1	3	6	4	1	7	6	4	6

STEP 1: DIVIDE 5 : 6 = 0 with a remainder of 5
	0
6	5	2	1	3	6	4	1	7	6	4	6

STEP 2: MULTIPLY 0 · 6 = 0
	0
6	5	2	1	3	6	4	1	7	6	4	6
	0

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

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

STEP 5: DIVIDE 52 : 6 = 8 with a remainder of 4
	0	8
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2

STEP 6: MULTIPLY 8 · 6 = 48
	0	8
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
	4	8

STEP 7: SUBTRACT 52 - 48 = 4
	0	8
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4

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

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

STEP 10: MULTIPLY 6 · 6 = 36
	0	8	6
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
		3	6

STEP 11: SUBTRACT 41 - 36 = 5
	0	8	6
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5

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

STEP 13: DIVIDE 53 : 6 = 8 with a remainder of 5
	0	8	6	8
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3

STEP 14: MULTIPLY 8 · 6 = 48
	0	8	6	8
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
			4	8

STEP 15: SUBTRACT 53 - 48 = 5
	0	8	6	8
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5

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

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

STEP 18: MULTIPLY 9 · 6 = 54
	0	8	6	8	9
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
				5	4

STEP 19: SUBTRACT 56 - 54 = 2
	0	8	6	8	9
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
			–	5	4
					2

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

STEP 21: DIVIDE 24 : 6 = 4 with a remainder of 0
	0	8	6	8	9	4
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
			–	5	4
					2	4

STEP 22: MULTIPLY 4 · 6 = 24
	0	8	6	8	9	4
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
			–	5	4
					2	4
					2	4

STEP 23: SUBTRACT 24 - 24 = 0
	0	8	6	8	9	4
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
			–	5	4
					2	4
				–	2	4
						0

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

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

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

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

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

STEP 29: DIVIDE 17 : 6 = 2 with a remainder of 5
	0	8	6	8	9	4	0	2
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
			–	5	4
					2	4
				–	2	4
						1
					–	0
						1	7

STEP 30: MULTIPLY 2 · 6 = 12
	0	8	6	8	9	4	0	2
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
			–	5	4
					2	4
				–	2	4
						1
					–	0
						1	7
						1	2

STEP 31: SUBTRACT 17 - 12 = 5
	0	8	6	8	9	4	0	2
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
			–	5	4
					2	4
				–	2	4
						1
					–	0
						1	7
					–	1	2
							5

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

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

STEP 34: MULTIPLY 9 · 6 = 54
	0	8	6	8	9	4	0	2	9
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
			–	5	4
					2	4
				–	2	4
						1
					–	0
						1	7
					–	1	2
							5	6
							5	4

STEP 35: SUBTRACT 56 - 54 = 2
	0	8	6	8	9	4	0	2	9
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
			–	5	4
					2	4
				–	2	4
						1
					–	0
						1	7
					–	1	2
							5	6
						–	5	4
								2

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

STEP 37: DIVIDE 24 : 6 = 4 with a remainder of 0
	0	8	6	8	9	4	0	2	9	4
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
			–	5	4
					2	4
				–	2	4
						1
					–	0
						1	7
					–	1	2
							5	6
						–	5	4
								2	4

STEP 38: MULTIPLY 4 · 6 = 24
	0	8	6	8	9	4	0	2	9	4
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
			–	5	4
					2	4
				–	2	4
						1
					–	0
						1	7
					–	1	2
							5	6
						–	5	4
								2	4
								2	4

STEP 39: SUBTRACT 24 - 24 = 0
	0	8	6	8	9	4	0	2	9	4
6	5	2	1	3	6	4	1	7	6	4	6
–	0
	5	2
–	4	8
		4	1
	–	3	6
			5	3
		–	4	8
				5	6
			–	5	4
					2	4
				–	2	4
						1
					–	0
						1	7
					–	1	2
							5	6
						–	5	4
								2	4
							–	2	4
									0

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

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

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

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

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

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