Question
What is the quotient and remainder when $ 753 $ is divided by $ 29 $ ?
Answer
The quotient is 25 and the remainder is 28.
Explanation
| Division Table | ||||
| 0 | 2 | 5 | ||
| 2 | 9 | 7 | 5 | 3 |
| – | 0 | |||
| 7 | 5 | |||
| – | 5 | 8 | ||
| 1 | 7 | 3 | ||
| – | 1 | 4 | 5 | |
| 2 | 8 | |||
|
STEP 0: set up a division table |
||||
| 2 | 9 | 7 | 5 | 3 |
|
STEP 1: DIVIDE 7 : 29 = 0 with a remainder of 7 |
||||
| 0 | ||||
| 2 | 9 | 7 | 5 | 3 |
|
STEP 2: MULTIPLY 0 · 29 = 0 |
||||
| 0 | ||||
| 2 | 9 | 7 | 5 | 3 |
| 0 | ||||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
||||
| 0 | ||||
| 2 | 9 | 7 | 5 | 3 |
| – | 0 | |||
| 7 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 2 | 9 | 7 | 5 | 3 |
| – | 0 | |||
| 7 | 5 | |||
|
STEP 5: DIVIDE 75 : 29 = 2 with a remainder of 17 |
||||
| 0 | 2 | |||
| 2 | 9 | 7 | 5 | 3 |
| – | 0 | |||
| 7 | 5 | |||
|
STEP 6: MULTIPLY 2 · 29 = 58 |
||||
| 0 | 2 | |||
| 2 | 9 | 7 | 5 | 3 |
| – | 0 | |||
| 7 | 5 | |||
| 5 | 8 | |||
|
STEP 7: SUBTRACT 75 - 58 = 17 |
||||
| 0 | 2 | |||
| 2 | 9 | 7 | 5 | 3 |
| – | 0 | |||
| 7 | 5 | |||
| – | 5 | 8 | ||
| 1 | 7 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 2 | |||
| 2 | 9 | 7 | 5 | 3 |
| – | 0 | |||
| 7 | 5 | |||
| – | 5 | 8 | ||
| 1 | 7 | 3 | ||
|
STEP 9: DIVIDE 173 : 29 = 5 with a remainder of 28 |
||||
| 0 | 2 | 5 | ||
| 2 | 9 | 7 | 5 | 3 |
| – | 0 | |||
| 7 | 5 | |||
| – | 5 | 8 | ||
| 1 | 7 | 3 | ||
|
STEP 10: MULTIPLY 5 · 29 = 145 |
||||
| 0 | 2 | 5 | ||
| 2 | 9 | 7 | 5 | 3 |
| – | 0 | |||
| 7 | 5 | |||
| – | 5 | 8 | ||
| 1 | 7 | 3 | ||
| 1 | 4 | 5 | ||
|
STEP 11: SUBTRACT 173 - 145 = 28 |
||||
| 0 | 2 | 5 | ||
| 2 | 9 | 7 | 5 | 3 |
| – | 0 | |||
| 7 | 5 | |||
| – | 5 | 8 | ||
| 1 | 7 | 3 | ||
| – | 1 | 4 | 5 | |
| 2 | 8 | |||
|
STEP 11: SUBTRACT 173 - 145 = 28 |
||||
| 0 | 2 | 5 | ||
| 2 | 9 | 7 | 5 | 3 |
| – | 0 | |||
| 7 | 5 | |||
| – | 5 | 8 | ||
| 1 | 7 | 3 | ||
| – | 1 | 4 | 5 | |
| 2 | 8 | |||
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