Question
What is the quotient and remainder when $ 26 $ is divided by $ 7 $ ?
Answer
The quotient is 3 and the remainder is 5.
Explanation
| Division Table | ||
| 0 | 3 | |
| 7 | 2 | 6 |
| – | 0 | |
| 2 | 6 | |
| – | 2 | 1 |
| 5 | ||
|
STEP 0: set up a division table |
||
| 7 | 2 | 6 |
|
STEP 1: DIVIDE 2 : 7 = 0 with a remainder of 2 |
||
| 0 | ||
| 7 | 2 | 6 |
|
STEP 2: MULTIPLY 0 · 7 = 0 |
||
| 0 | ||
| 7 | 2 | 6 |
| 0 | ||
|
STEP 3: SUBTRACT 2 - 0 = 2 |
||
| 0 | ||
| 7 | 2 | 6 |
| – | 0 | |
| 2 | ||
| STEP 4: BRING DOWN | ||
| 0 | ||
| 7 | 2 | 6 |
| – | 0 | |
| 2 | 6 | |
|
STEP 5: DIVIDE 26 : 7 = 3 with a remainder of 5 |
||
| 0 | 3 | |
| 7 | 2 | 6 |
| – | 0 | |
| 2 | 6 | |
|
STEP 6: MULTIPLY 3 · 7 = 21 |
||
| 0 | 3 | |
| 7 | 2 | 6 |
| – | 0 | |
| 2 | 6 | |
| 2 | 1 | |
|
STEP 7: SUBTRACT 26 - 21 = 5 |
||
| 0 | 3 | |
| 7 | 2 | 6 |
| – | 0 | |
| 2 | 6 | |
| – | 2 | 1 |
| 5 | ||
|
STEP 7: SUBTRACT 26 - 21 = 5 |
||
| 0 | 3 | |
| 7 | 2 | 6 |
| – | 0 | |
| 2 | 6 | |
| – | 2 | 1 |
| 5 | ||
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