Question
What is the quotient and remainder when $ 157 $ is divided by $ 34 $ ?
Answer
The quotient is 4 and the remainder is 21.
Explanation
| Division Table | ||||
| 0 | 0 | 4 | ||
| 3 | 4 | 1 | 5 | 7 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | 7 | ||
| – | 1 | 3 | 6 | |
| 2 | 1 | |||
|
STEP 0: set up a division table |
||||
| 3 | 4 | 1 | 5 | 7 |
|
STEP 1: DIVIDE 1 : 34 = 0 with a remainder of 1 |
||||
| 0 | ||||
| 3 | 4 | 1 | 5 | 7 |
|
STEP 2: MULTIPLY 0 · 34 = 0 |
||||
| 0 | ||||
| 3 | 4 | 1 | 5 | 7 |
| 0 | ||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||
| 0 | ||||
| 3 | 4 | 1 | 5 | 7 |
| – | 0 | |||
| 1 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 3 | 4 | 1 | 5 | 7 |
| – | 0 | |||
| 1 | 5 | |||
|
STEP 5: DIVIDE 15 : 34 = 0 with a remainder of 15 |
||||
| 0 | 0 | |||
| 3 | 4 | 1 | 5 | 7 |
| – | 0 | |||
| 1 | 5 | |||
|
STEP 6: MULTIPLY 0 · 34 = 0 |
||||
| 0 | 0 | |||
| 3 | 4 | 1 | 5 | 7 |
| – | 0 | |||
| 1 | 5 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 15 - 0 = 15 |
||||
| 0 | 0 | |||
| 3 | 4 | 1 | 5 | 7 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 3 | 4 | 1 | 5 | 7 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | 7 | ||
|
STEP 9: DIVIDE 157 : 34 = 4 with a remainder of 21 |
||||
| 0 | 0 | 4 | ||
| 3 | 4 | 1 | 5 | 7 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | 7 | ||
|
STEP 10: MULTIPLY 4 · 34 = 136 |
||||
| 0 | 0 | 4 | ||
| 3 | 4 | 1 | 5 | 7 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | 7 | ||
| 1 | 3 | 6 | ||
|
STEP 11: SUBTRACT 157 - 136 = 21 |
||||
| 0 | 0 | 4 | ||
| 3 | 4 | 1 | 5 | 7 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | 7 | ||
| – | 1 | 3 | 6 | |
| 2 | 1 | |||
|
STEP 11: SUBTRACT 157 - 136 = 21 |
||||
| 0 | 0 | 4 | ||
| 3 | 4 | 1 | 5 | 7 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | 7 | ||
| – | 1 | 3 | 6 | |
| 2 | 1 | |||
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