Question

What is the quotient and remainder when $ 214748364600 $ is divided by $ 7 $ ?

Answer

The quotient is 30678337800 and the remainder is 0.

Explanation

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

STEP 0: set up a division table

7	2	1	4	7	4	8	3	6	4	6	0	0

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

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

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

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

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

STEP 6: MULTIPLY 3 · 7 = 21
	0	3
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
	2	1

STEP 7: SUBTRACT 21 - 21 = 0
	0	3
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		0

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

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

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

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

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

STEP 13: DIVIDE 47 : 7 = 6 with a remainder of 5
	0	3	0	6
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7

STEP 14: MULTIPLY 6 · 7 = 42
	0	3	0	6
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
		4	2

STEP 15: SUBTRACT 47 - 42 = 5
	0	3	0	6
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5

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

STEP 17: DIVIDE 54 : 7 = 7 with a remainder of 5
	0	3	0	6	7
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4

STEP 18: MULTIPLY 7 · 7 = 49
	0	3	0	6	7
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
			4	9

STEP 19: SUBTRACT 54 - 49 = 5
	0	3	0	6	7
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5

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

STEP 21: DIVIDE 58 : 7 = 8 with a remainder of 2
	0	3	0	6	7	8
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8

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

STEP 23: SUBTRACT 58 - 56 = 2
	0	3	0	6	7	8
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2

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

STEP 25: DIVIDE 23 : 7 = 3 with a remainder of 2
	0	3	0	6	7	8	3
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3

STEP 26: MULTIPLY 3 · 7 = 21
	0	3	0	6	7	8	3
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
					2	1

STEP 27: SUBTRACT 23 - 21 = 2
	0	3	0	6	7	8	3
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2

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

STEP 29: DIVIDE 26 : 7 = 3 with a remainder of 5
	0	3	0	6	7	8	3	3
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2	6

STEP 30: MULTIPLY 3 · 7 = 21
	0	3	0	6	7	8	3	3
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2	6
						2	1

STEP 31: SUBTRACT 26 - 21 = 5
	0	3	0	6	7	8	3	3
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2	6
					–	2	1
							5

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

STEP 33: DIVIDE 54 : 7 = 7 with a remainder of 5
	0	3	0	6	7	8	3	3	7
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2	6
					–	2	1
							5	4

STEP 34: MULTIPLY 7 · 7 = 49
	0	3	0	6	7	8	3	3	7
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2	6
					–	2	1
							5	4
							4	9

STEP 35: SUBTRACT 54 - 49 = 5
	0	3	0	6	7	8	3	3	7
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2	6
					–	2	1
							5	4
						–	4	9
								5

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

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

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

STEP 39: SUBTRACT 56 - 56 = 0
	0	3	0	6	7	8	3	3	7	8
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2	6
					–	2	1
							5	4
						–	4	9
								5	6
							–	5	6
									0

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

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

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

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

STEP 44: BRING DOWN
	0	3	0	6	7	8	3	3	7	8	0
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2	6
					–	2	1
							5	4
						–	4	9
								5	6
							–	5	6
									0
								–	0
									0

STEP 45: DIVIDE 0 : 7 = 0 with a remainder of 0
	0	3	0	6	7	8	3	3	7	8	0	0
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2	6
					–	2	1
							5	4
						–	4	9
								5	6
							–	5	6
									0
								–	0
									0

STEP 46: MULTIPLY 0 · 7 = 0
	0	3	0	6	7	8	3	3	7	8	0	0
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2	6
					–	2	1
							5	4
						–	4	9
								5	6
							–	5	6
									0
								–	0
									0
									0

STEP 47: SUBTRACT 0 - 0 = 0
	0	3	0	6	7	8	3	3	7	8	0	0
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2	6
					–	2	1
							5	4
						–	4	9
								5	6
							–	5	6
									0
								–	0
									0
								–	0
									0

STEP 47: SUBTRACT 0 - 0 = 0
	0	3	0	6	7	8	3	3	7	8	0	0
7	2	1	4	7	4	8	3	6	4	6	0	0
–	0
	2	1
–	2	1
		4
	–	0
		4	7
	–	4	2
			5	4
		–	4	9
				5	8
			–	5	6
					2	3
				–	2	1
						2	6
					–	2	1
							5	4
						–	4	9
								5	6
							–	5	6
									0
								–	0
									0
								–	0
									0

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