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Question

What is the quotient and remainder when $ 1235564211 $ is divided by $ 3104 $ ?

Answer

The quotient is 398055 and the remainder is 1491.

Explanation

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

STEP 0: set up a division table

3	1	0	4	1	2	3	5	5	6	4	2	1	1

STEP 1: DIVIDE 1 : 3104 = 0 with a remainder of 1
				0
3	1	0	4	1	2	3	5	5	6	4	2	1	1

STEP 2: MULTIPLY 0 · 3104 = 0
				0
3	1	0	4	1	2	3	5	5	6	4	2	1	1
				0

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

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

STEP 5: DIVIDE 12 : 3104 = 0 with a remainder of 12
				0	0
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2

STEP 6: MULTIPLY 0 · 3104 = 0
				0	0
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
					0

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

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

STEP 9: DIVIDE 123 : 3104 = 0 with a remainder of 123
				0	0	0
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3

STEP 10: MULTIPLY 0 · 3104 = 0
				0	0	0
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
						0

STEP 11: SUBTRACT 123 - 0 = 123
				0	0	0
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3

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

STEP 13: DIVIDE 1235 : 3104 = 0 with a remainder of 1235
				0	0	0	0
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5

STEP 14: MULTIPLY 0 · 3104 = 0
				0	0	0	0
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
							0

STEP 15: SUBTRACT 1235 - 0 = 1235
				0	0	0	0
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5

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

STEP 17: DIVIDE 12355 : 3104 = 3 with a remainder of 3043
				0	0	0	0	3
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5

STEP 18: MULTIPLY 3 · 3104 = 9312
				0	0	0	0	3
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
					9	3	1	2

STEP 19: SUBTRACT 12355 - 9312 = 3043
				0	0	0	0	3
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3

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

STEP 21: DIVIDE 30436 : 3104 = 9 with a remainder of 2500
				0	0	0	0	3	9
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6

STEP 22: MULTIPLY 9 · 3104 = 27936
				0	0	0	0	3	9
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
					2	7	9	3	6

STEP 23: SUBTRACT 30436 - 27936 = 2500
				0	0	0	0	3	9
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0

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

STEP 25: DIVIDE 25004 : 3104 = 8 with a remainder of 172
				0	0	0	0	3	9	8
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4

STEP 26: MULTIPLY 8 · 3104 = 24832
				0	0	0	0	3	9	8
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4
						2	4	8	3	2

STEP 27: SUBTRACT 25004 - 24832 = 172
				0	0	0	0	3	9	8
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4
					–	2	4	8	3	2
								1	7	2

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

STEP 29: DIVIDE 1722 : 3104 = 0 with a remainder of 1722
				0	0	0	0	3	9	8	0
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4
					–	2	4	8	3	2
								1	7	2	2

STEP 30: MULTIPLY 0 · 3104 = 0
				0	0	0	0	3	9	8	0
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4
					–	2	4	8	3	2
								1	7	2	2
											0

STEP 31: SUBTRACT 1722 - 0 = 1722
				0	0	0	0	3	9	8	0
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4
					–	2	4	8	3	2
								1	7	2	2
										–	0
								1	7	2	2

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

STEP 33: DIVIDE 17221 : 3104 = 5 with a remainder of 1701
				0	0	0	0	3	9	8	0	5
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4
					–	2	4	8	3	2
								1	7	2	2
										–	0
								1	7	2	2	1

STEP 34: MULTIPLY 5 · 3104 = 15520
				0	0	0	0	3	9	8	0	5
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4
					–	2	4	8	3	2
								1	7	2	2
										–	0
								1	7	2	2	1
								1	5	5	2	0

STEP 35: SUBTRACT 17221 - 15520 = 1701
				0	0	0	0	3	9	8	0	5
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4
					–	2	4	8	3	2
								1	7	2	2
										–	0
								1	7	2	2	1
							–	1	5	5	2	0
									1	7	0	1

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

STEP 37: DIVIDE 17011 : 3104 = 5 with a remainder of 1491
				0	0	0	0	3	9	8	0	5	5
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4
					–	2	4	8	3	2
								1	7	2	2
										–	0
								1	7	2	2	1
							–	1	5	5	2	0
									1	7	0	1	1

STEP 38: MULTIPLY 5 · 3104 = 15520
				0	0	0	0	3	9	8	0	5	5
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4
					–	2	4	8	3	2
								1	7	2	2
										–	0
								1	7	2	2	1
							–	1	5	5	2	0
									1	7	0	1	1
									1	5	5	2	0

STEP 39: SUBTRACT 17011 - 15520 = 1491
				0	0	0	0	3	9	8	0	5	5
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4
					–	2	4	8	3	2
								1	7	2	2
										–	0
								1	7	2	2	1
							–	1	5	5	2	0
									1	7	0	1	1
								–	1	5	5	2	0
										1	4	9	1

STEP 39: SUBTRACT 17011 - 15520 = 1491
				0	0	0	0	3	9	8	0	5	5
3	1	0	4	1	2	3	5	5	6	4	2	1	1
			–	0
				1	2
				–	0
				1	2	3
					–	0
				1	2	3	5
						–	0
				1	2	3	5	5
				–	9	3	1	2
					3	0	4	3	6
				–	2	7	9	3	6
						2	5	0	0	4
					–	2	4	8	3	2
								1	7	2	2
										–	0
								1	7	2	2	1
							–	1	5	5	2	0
									1	7	0	1	1
								–	1	5	5	2	0
										1	4	9	1

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