What is the quotient and remainder when $ 76 $ is divided by $ 3 $ ?
Answer
The quotient is 25 and the remainder is 1.
Explanation
| Division Table | ||
| 2 | 5 | |
| 3 | 7 | 6 |
| – | 6 | |
| 1 | 6 | |
| – | 1 | 5 |
| 1 | ||
|
STEP 0: set up a division table |
||
| 3 | 7 | 6 |
|
STEP 1: DIVIDE 7 : 3 = 2 with a remainder of 1 |
||
| 2 | ||
| 3 | 7 | 6 |
|
STEP 2: MULTIPLY 2 · 3 = 6 |
||
| 2 | ||
| 3 | 7 | 6 |
| 6 | ||
|
STEP 3: SUBTRACT 7 - 6 = 1 |
||
| 2 | ||
| 3 | 7 | 6 |
| – | 6 | |
| 1 | ||
| STEP 4: BRING DOWN | ||
| 2 | ||
| 3 | 7 | 6 |
| – | 6 | |
| 1 | 6 | |
|
STEP 5: DIVIDE 16 : 3 = 5 with a remainder of 1 |
||
| 2 | 5 | |
| 3 | 7 | 6 |
| – | 6 | |
| 1 | 6 | |
|
STEP 6: MULTIPLY 5 · 3 = 15 |
||
| 2 | 5 | |
| 3 | 7 | 6 |
| – | 6 | |
| 1 | 6 | |
| 1 | 5 | |
|
STEP 7: SUBTRACT 16 - 15 = 1 |
||
| 2 | 5 | |
| 3 | 7 | 6 |
| – | 6 | |
| 1 | 6 | |
| – | 1 | 5 |
| 1 | ||
|
STEP 7: SUBTRACT 16 - 15 = 1 |
||
| 2 | 5 | |
| 3 | 7 | 6 |
| – | 6 | |
| 1 | 6 | |
| – | 1 | 5 |
| 1 | ||
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