Question
What is the quotient and remainder when $ 76 $ is divided by $ 5 $ ?
Answer
The quotient is 15 and the remainder is 1.
Explanation
| Division Table | ||
| 1 | 5 | |
| 5 | 7 | 6 |
| – | 5 | |
| 2 | 6 | |
| – | 2 | 5 |
| 1 | ||
|
STEP 0: set up a division table |
||
| 5 | 7 | 6 |
|
STEP 1: DIVIDE 7 : 5 = 1 with a remainder of 2 |
||
| 1 | ||
| 5 | 7 | 6 |
|
STEP 2: MULTIPLY 1 · 5 = 5 |
||
| 1 | ||
| 5 | 7 | 6 |
| 5 | ||
|
STEP 3: SUBTRACT 7 - 5 = 2 |
||
| 1 | ||
| 5 | 7 | 6 |
| – | 5 | |
| 2 | ||
| STEP 4: BRING DOWN | ||
| 1 | ||
| 5 | 7 | 6 |
| – | 5 | |
| 2 | 6 | |
|
STEP 5: DIVIDE 26 : 5 = 5 with a remainder of 1 |
||
| 1 | 5 | |
| 5 | 7 | 6 |
| – | 5 | |
| 2 | 6 | |
|
STEP 6: MULTIPLY 5 · 5 = 25 |
||
| 1 | 5 | |
| 5 | 7 | 6 |
| – | 5 | |
| 2 | 6 | |
| 2 | 5 | |
|
STEP 7: SUBTRACT 26 - 25 = 1 |
||
| 1 | 5 | |
| 5 | 7 | 6 |
| – | 5 | |
| 2 | 6 | |
| – | 2 | 5 |
| 1 | ||
|
STEP 7: SUBTRACT 26 - 25 = 1 |
||
| 1 | 5 | |
| 5 | 7 | 6 |
| – | 5 | |
| 2 | 6 | |
| – | 2 | 5 |
| 1 | ||
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