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Question

What is the quotient and remainder when $ 123567890 $ is divided by $ 987643201 $ ?

Answer

The quotient is 0 and the remainder is 123567890.

Explanation

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

STEP 0: set up a division table

9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0

STEP 1: DIVIDE 1 : 987643201 = 0 with a remainder of 1
									0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0

STEP 2: MULTIPLY 0 · 987643201 = 0
									0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
									0

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

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

STEP 5: DIVIDE 12 : 987643201 = 0 with a remainder of 12
									0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2

STEP 6: MULTIPLY 0 · 987643201 = 0
									0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
										0

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

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

STEP 9: DIVIDE 123 : 987643201 = 0 with a remainder of 123
									0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3

STEP 10: MULTIPLY 0 · 987643201 = 0
									0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
											0

STEP 11: SUBTRACT 123 - 0 = 123
									0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3

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

STEP 13: DIVIDE 1235 : 987643201 = 0 with a remainder of 1235
									0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5

STEP 14: MULTIPLY 0 · 987643201 = 0
									0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
												0

STEP 15: SUBTRACT 1235 - 0 = 1235
									0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	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
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6

STEP 17: DIVIDE 12356 : 987643201 = 0 with a remainder of 12356
									0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6

STEP 18: MULTIPLY 0 · 987643201 = 0
									0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
													0

STEP 19: SUBTRACT 12356 - 0 = 12356
									0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6

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

STEP 21: DIVIDE 123567 : 987643201 = 0 with a remainder of 123567
									0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7

STEP 22: MULTIPLY 0 · 987643201 = 0
									0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7
														0

STEP 23: SUBTRACT 123567 - 0 = 123567
									0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7
													–	0
									1	2	3	5	6	7

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

STEP 25: DIVIDE 1235678 : 987643201 = 0 with a remainder of 1235678
									0	0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7
													–	0
									1	2	3	5	6	7	8

STEP 26: MULTIPLY 0 · 987643201 = 0
									0	0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7
													–	0
									1	2	3	5	6	7	8
															0

STEP 27: SUBTRACT 1235678 - 0 = 1235678
									0	0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7
													–	0
									1	2	3	5	6	7	8
														–	0
									1	2	3	5	6	7	8

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

STEP 29: DIVIDE 12356789 : 987643201 = 0 with a remainder of 12356789
									0	0	0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7
													–	0
									1	2	3	5	6	7	8
														–	0
									1	2	3	5	6	7	8	9

STEP 30: MULTIPLY 0 · 987643201 = 0
									0	0	0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7
													–	0
									1	2	3	5	6	7	8
														–	0
									1	2	3	5	6	7	8	9
																0

STEP 31: SUBTRACT 12356789 - 0 = 12356789
									0	0	0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7
													–	0
									1	2	3	5	6	7	8
														–	0
									1	2	3	5	6	7	8	9
															–	0
									1	2	3	5	6	7	8	9

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

STEP 33: DIVIDE 123567890 : 987643201 = 0 with a remainder of 123567890
									0	0	0	0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7
													–	0
									1	2	3	5	6	7	8
														–	0
									1	2	3	5	6	7	8	9
															–	0
									1	2	3	5	6	7	8	9	0

STEP 34: MULTIPLY 0 · 987643201 = 0
									0	0	0	0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7
													–	0
									1	2	3	5	6	7	8
														–	0
									1	2	3	5	6	7	8	9
															–	0
									1	2	3	5	6	7	8	9	0
																	0

STEP 35: SUBTRACT 123567890 - 0 = 123567890
									0	0	0	0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7
													–	0
									1	2	3	5	6	7	8
														–	0
									1	2	3	5	6	7	8	9
															–	0
									1	2	3	5	6	7	8	9	0
																–	0
									1	2	3	5	6	7	8	9	0

STEP 35: SUBTRACT 123567890 - 0 = 123567890
									0	0	0	0	0	0	0	0	0
9	8	7	6	4	3	2	0	1	1	2	3	5	6	7	8	9	0
								–	0
									1	2
									–	0
									1	2	3
										–	0
									1	2	3	5
											–	0
									1	2	3	5	6
												–	0
									1	2	3	5	6	7
													–	0
									1	2	3	5	6	7	8
														–	0
									1	2	3	5	6	7	8	9
															–	0
									1	2	3	5	6	7	8	9	0
																–	0
									1	2	3	5	6	7	8	9	0

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