Question
What is the quotient and remainder when $ 138 $ is divided by $ 7 $ ?
Answer
The quotient is 19 and the remainder is 5.
Explanation
| Division Table | |||
| 0 | 1 | 9 | |
| 7 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 7 | ||
| 6 | 8 | ||
| – | 6 | 3 | |
| 5 | |||
|
STEP 0: set up a division table |
|||
| 7 | 1 | 3 | 8 |
|
STEP 1: DIVIDE 1 : 7 = 0 with a remainder of 1 |
|||
| 0 | |||
| 7 | 1 | 3 | 8 |
|
STEP 2: MULTIPLY 0 · 7 = 0 |
|||
| 0 | |||
| 7 | 1 | 3 | 8 |
| 0 | |||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||
| 0 | |||
| 7 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 7 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
|
STEP 5: DIVIDE 13 : 7 = 1 with a remainder of 6 |
|||
| 0 | 1 | ||
| 7 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
|
STEP 6: MULTIPLY 1 · 7 = 7 |
|||
| 0 | 1 | ||
| 7 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| 7 | |||
|
STEP 7: SUBTRACT 13 - 7 = 6 |
|||
| 0 | 1 | ||
| 7 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 7 | ||
| 6 | |||
| STEP 8: BRING DOWN | |||
| 0 | 1 | ||
| 7 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 7 | ||
| 6 | 8 | ||
|
STEP 9: DIVIDE 68 : 7 = 9 with a remainder of 5 |
|||
| 0 | 1 | 9 | |
| 7 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 7 | ||
| 6 | 8 | ||
|
STEP 10: MULTIPLY 9 · 7 = 63 |
|||
| 0 | 1 | 9 | |
| 7 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 7 | ||
| 6 | 8 | ||
| 6 | 3 | ||
|
STEP 11: SUBTRACT 68 - 63 = 5 |
|||
| 0 | 1 | 9 | |
| 7 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 7 | ||
| 6 | 8 | ||
| – | 6 | 3 | |
| 5 | |||
|
STEP 11: SUBTRACT 68 - 63 = 5 |
|||
| 0 | 1 | 9 | |
| 7 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 7 | ||
| 6 | 8 | ||
| – | 6 | 3 | |
| 5 | |||
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