What is the quotient and remainder when $ 54678985321 $ is divided by $ 4 $ ?

Answer

The quotient is 13669746330 and the remainder is 1.

Explanation

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

STEP 0: set up a division table

4	5	4	6	7	8	9	8	5	3	2	1

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

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

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

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

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

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

STEP 7: SUBTRACT 14 - 12 = 2
	1	3
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2

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

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

STEP 10: MULTIPLY 6 · 4 = 24
	1	3	6
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
		2	4

STEP 11: SUBTRACT 26 - 24 = 2
	1	3	6
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2

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

STEP 13: DIVIDE 27 : 4 = 6 with a remainder of 3
	1	3	6	6
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7

STEP 14: MULTIPLY 6 · 4 = 24
	1	3	6	6
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
			2	4

STEP 15: SUBTRACT 27 - 24 = 3
	1	3	6	6
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3

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

STEP 17: DIVIDE 38 : 4 = 9 with a remainder of 2
	1	3	6	6	9
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8

STEP 18: MULTIPLY 9 · 4 = 36
	1	3	6	6	9
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
				3	6

STEP 19: SUBTRACT 38 - 36 = 2
	1	3	6	6	9
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2

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

STEP 21: DIVIDE 29 : 4 = 7 with a remainder of 1
	1	3	6	6	9	7
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9

STEP 22: MULTIPLY 7 · 4 = 28
	1	3	6	6	9	7
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
					2	8

STEP 23: SUBTRACT 29 - 28 = 1
	1	3	6	6	9	7
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1

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

STEP 25: DIVIDE 18 : 4 = 4 with a remainder of 2
	1	3	6	6	9	7	4
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1	8

STEP 26: MULTIPLY 4 · 4 = 16
	1	3	6	6	9	7	4
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1	8
						1	6

STEP 27: SUBTRACT 18 - 16 = 2
	1	3	6	6	9	7	4
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1	8
					–	1	6
							2

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

STEP 29: DIVIDE 25 : 4 = 6 with a remainder of 1
	1	3	6	6	9	7	4	6
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1	8
					–	1	6
							2	5

STEP 30: MULTIPLY 6 · 4 = 24
	1	3	6	6	9	7	4	6
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1	8
					–	1	6
							2	5
							2	4

STEP 31: SUBTRACT 25 - 24 = 1
	1	3	6	6	9	7	4	6
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1	8
					–	1	6
							2	5
						–	2	4
								1

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

STEP 33: DIVIDE 13 : 4 = 3 with a remainder of 1
	1	3	6	6	9	7	4	6	3
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1	8
					–	1	6
							2	5
						–	2	4
								1	3

STEP 34: MULTIPLY 3 · 4 = 12
	1	3	6	6	9	7	4	6	3
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1	8
					–	1	6
							2	5
						–	2	4
								1	3
								1	2

STEP 35: SUBTRACT 13 - 12 = 1
	1	3	6	6	9	7	4	6	3
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1	8
					–	1	6
							2	5
						–	2	4
								1	3
							–	1	2
									1

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

STEP 37: DIVIDE 12 : 4 = 3 with a remainder of 0
	1	3	6	6	9	7	4	6	3	3
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1	8
					–	1	6
							2	5
						–	2	4
								1	3
							–	1	2
									1	2

STEP 38: MULTIPLY 3 · 4 = 12
	1	3	6	6	9	7	4	6	3	3
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1	8
					–	1	6
							2	5
						–	2	4
								1	3
							–	1	2
									1	2
									1	2

STEP 39: SUBTRACT 12 - 12 = 0
	1	3	6	6	9	7	4	6	3	3
4	5	4	6	7	8	9	8	5	3	2	1
–	4
	1	4
–	1	2
		2	6
	–	2	4
			2	7
		–	2	4
				3	8
			–	3	6
					2	9
				–	2	8
						1	8
					–	1	6
							2	5
						–	2	4
								1	3
							–	1	2
									1	2
								–	1	2
										0

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

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

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

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

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

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