What is the quotient and remainder when $ 82 $ is divided by $ 3 $ ?
The quotient is 27 and the remainder is 1.
| Division Table | ||
| 2 | 7 | |
| 3 | 8 | 2 |
| – | 6 | |
| 2 | 2 | |
| – | 2 | 1 |
| 1 | ||
|
STEP 0: set up a division table |
||
| 3 | 8 | 2 |
|
STEP 1: DIVIDE 8 : 3 = 2 with a remainder of 2 |
||
| 2 | ||
| 3 | 8 | 2 |
|
STEP 2: MULTIPLY 2 · 3 = 6 |
||
| 2 | ||
| 3 | 8 | 2 |
| 6 | ||
|
STEP 3: SUBTRACT 8 - 6 = 2 |
||
| 2 | ||
| 3 | 8 | 2 |
| – | 6 | |
| 2 | ||
| STEP 4: BRING DOWN | ||
| 2 | ||
| 3 | 8 | 2 |
| – | 6 | |
| 2 | 2 | |
|
STEP 5: DIVIDE 22 : 3 = 7 with a remainder of 1 |
||
| 2 | 7 | |
| 3 | 8 | 2 |
| – | 6 | |
| 2 | 2 | |
|
STEP 6: MULTIPLY 7 · 3 = 21 |
||
| 2 | 7 | |
| 3 | 8 | 2 |
| – | 6 | |
| 2 | 2 | |
| 2 | 1 | |
|
STEP 7: SUBTRACT 22 - 21 = 1 |
||
| 2 | 7 | |
| 3 | 8 | 2 |
| – | 6 | |
| 2 | 2 | |
| – | 2 | 1 |
| 1 | ||
|
STEP 7: SUBTRACT 22 - 21 = 1 |
||
| 2 | 7 | |
| 3 | 8 | 2 |
| – | 6 | |
| 2 | 2 | |
| – | 2 | 1 |
| 1 | ||