What is the quotient and remainder when $ 77 $ is divided by $ 25 $ ?
The quotient is 3 and the remainder is 2.
| Division Table | |||
| 0 | 3 | ||
| 2 | 5 | 7 | 7 |
| – | 0 | ||
| 7 | 7 | ||
| – | 7 | 5 | |
| 2 | |||
|
STEP 0: set up a division table |
|||
| 2 | 5 | 7 | 7 |
|
STEP 1: DIVIDE 7 : 25 = 0 with a remainder of 7 |
|||
| 0 | |||
| 2 | 5 | 7 | 7 |
|
STEP 2: MULTIPLY 0 · 25 = 0 |
|||
| 0 | |||
| 2 | 5 | 7 | 7 |
| 0 | |||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
|||
| 0 | |||
| 2 | 5 | 7 | 7 |
| – | 0 | ||
| 7 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 2 | 5 | 7 | 7 |
| – | 0 | ||
| 7 | 7 | ||
|
STEP 5: DIVIDE 77 : 25 = 3 with a remainder of 2 |
|||
| 0 | 3 | ||
| 2 | 5 | 7 | 7 |
| – | 0 | ||
| 7 | 7 | ||
|
STEP 6: MULTIPLY 3 · 25 = 75 |
|||
| 0 | 3 | ||
| 2 | 5 | 7 | 7 |
| – | 0 | ||
| 7 | 7 | ||
| 7 | 5 | ||
|
STEP 7: SUBTRACT 77 - 75 = 2 |
|||
| 0 | 3 | ||
| 2 | 5 | 7 | 7 |
| – | 0 | ||
| 7 | 7 | ||
| – | 7 | 5 | |
| 2 | |||
|
STEP 7: SUBTRACT 77 - 75 = 2 |
|||
| 0 | 3 | ||
| 2 | 5 | 7 | 7 |
| – | 0 | ||
| 7 | 7 | ||
| – | 7 | 5 | |
| 2 | |||