Question
What is the quotient and remainder when $ 34 $ is divided by $ 7 $ ?
Answer
The quotient is 4 and the remainder is 6.
Explanation
| Division Table | ||
| 0 | 4 | |
| 7 | 3 | 4 |
| – | 0 | |
| 3 | 4 | |
| – | 2 | 8 |
| 6 | ||
|
STEP 0: set up a division table |
||
| 7 | 3 | 4 |
|
STEP 1: DIVIDE 3 : 7 = 0 with a remainder of 3 |
||
| 0 | ||
| 7 | 3 | 4 |
|
STEP 2: MULTIPLY 0 · 7 = 0 |
||
| 0 | ||
| 7 | 3 | 4 |
| 0 | ||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||
| 0 | ||
| 7 | 3 | 4 |
| – | 0 | |
| 3 | ||
| STEP 4: BRING DOWN | ||
| 0 | ||
| 7 | 3 | 4 |
| – | 0 | |
| 3 | 4 | |
|
STEP 5: DIVIDE 34 : 7 = 4 with a remainder of 6 |
||
| 0 | 4 | |
| 7 | 3 | 4 |
| – | 0 | |
| 3 | 4 | |
|
STEP 6: MULTIPLY 4 · 7 = 28 |
||
| 0 | 4 | |
| 7 | 3 | 4 |
| – | 0 | |
| 3 | 4 | |
| 2 | 8 | |
|
STEP 7: SUBTRACT 34 - 28 = 6 |
||
| 0 | 4 | |
| 7 | 3 | 4 |
| – | 0 | |
| 3 | 4 | |
| – | 2 | 8 |
| 6 | ||
|
STEP 7: SUBTRACT 34 - 28 = 6 |
||
| 0 | 4 | |
| 7 | 3 | 4 |
| – | 0 | |
| 3 | 4 | |
| – | 2 | 8 |
| 6 | ||
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