Question
What is the quotient and remainder when $ 9089 $ is divided by $ 745 $ ?
Answer
The quotient is 12 and the remainder is 149.
Explanation
| Division Table | ||||||
| 0 | 0 | 1 | 2 | |||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
| – | 0 | |||||
| 9 | 0 | 8 | ||||
| – | 7 | 4 | 5 | |||
| 1 | 6 | 3 | 9 | |||
| – | 1 | 4 | 9 | 0 | ||
| 1 | 4 | 9 | ||||
|
STEP 0: set up a division table |
||||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
|
STEP 1: DIVIDE 9 : 745 = 0 with a remainder of 9 |
||||||
| 0 | ||||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
|
STEP 2: MULTIPLY 0 · 745 = 0 |
||||||
| 0 | ||||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| 0 | ||||||
|
STEP 3: SUBTRACT 9 - 0 = 9 |
||||||
| 0 | ||||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
|
STEP 5: DIVIDE 90 : 745 = 0 with a remainder of 90 |
||||||
| 0 | 0 | |||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
|
STEP 6: MULTIPLY 0 · 745 = 0 |
||||||
| 0 | 0 | |||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 90 - 0 = 90 |
||||||
| 0 | 0 | |||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
| – | 0 | |||||
| 9 | 0 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
| – | 0 | |||||
| 9 | 0 | 8 | ||||
|
STEP 9: DIVIDE 908 : 745 = 1 with a remainder of 163 |
||||||
| 0 | 0 | 1 | ||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
| – | 0 | |||||
| 9 | 0 | 8 | ||||
|
STEP 10: MULTIPLY 1 · 745 = 745 |
||||||
| 0 | 0 | 1 | ||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
| – | 0 | |||||
| 9 | 0 | 8 | ||||
| 7 | 4 | 5 | ||||
|
STEP 11: SUBTRACT 908 - 745 = 163 |
||||||
| 0 | 0 | 1 | ||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
| – | 0 | |||||
| 9 | 0 | 8 | ||||
| – | 7 | 4 | 5 | |||
| 1 | 6 | 3 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 1 | ||||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
| – | 0 | |||||
| 9 | 0 | 8 | ||||
| – | 7 | 4 | 5 | |||
| 1 | 6 | 3 | 9 | |||
|
STEP 13: DIVIDE 1639 : 745 = 2 with a remainder of 149 |
||||||
| 0 | 0 | 1 | 2 | |||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
| – | 0 | |||||
| 9 | 0 | 8 | ||||
| – | 7 | 4 | 5 | |||
| 1 | 6 | 3 | 9 | |||
|
STEP 14: MULTIPLY 2 · 745 = 1490 |
||||||
| 0 | 0 | 1 | 2 | |||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
| – | 0 | |||||
| 9 | 0 | 8 | ||||
| – | 7 | 4 | 5 | |||
| 1 | 6 | 3 | 9 | |||
| 1 | 4 | 9 | 0 | |||
|
STEP 15: SUBTRACT 1639 - 1490 = 149 |
||||||
| 0 | 0 | 1 | 2 | |||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
| – | 0 | |||||
| 9 | 0 | 8 | ||||
| – | 7 | 4 | 5 | |||
| 1 | 6 | 3 | 9 | |||
| – | 1 | 4 | 9 | 0 | ||
| 1 | 4 | 9 | ||||
|
STEP 15: SUBTRACT 1639 - 1490 = 149 |
||||||
| 0 | 0 | 1 | 2 | |||
| 7 | 4 | 5 | 9 | 0 | 8 | 9 |
| – | 0 | |||||
| 9 | 0 | |||||
| – | 0 | |||||
| 9 | 0 | 8 | ||||
| – | 7 | 4 | 5 | |||
| 1 | 6 | 3 | 9 | |||
| – | 1 | 4 | 9 | 0 | ||
| 1 | 4 | 9 | ||||
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