Question
What is the quotient and remainder when $ 783 $ is divided by $ 7 $ ?
Answer
The quotient is 111 and the remainder is 6.
Explanation
| Division Table | |||
| 1 | 1 | 1 | |
| 7 | 7 | 8 | 3 |
| – | 7 | ||
| 8 | |||
| – | 7 | ||
| 1 | 3 | ||
| – | 7 | ||
| 6 | |||
|
STEP 0: set up a division table |
|||
| 7 | 7 | 8 | 3 |
|
STEP 1: DIVIDE 7 : 7 = 1 with a remainder of 0 |
|||
| 1 | |||
| 7 | 7 | 8 | 3 |
|
STEP 2: MULTIPLY 1 · 7 = 7 |
|||
| 1 | |||
| 7 | 7 | 8 | 3 |
| 7 | |||
|
STEP 3: SUBTRACT 7 - 7 = 0 |
|||
| 1 | |||
| 7 | 7 | 8 | 3 |
| – | 7 | ||
| 0 | |||
| STEP 4: BRING DOWN | |||
| 1 | |||
| 7 | 7 | 8 | 3 |
| – | 7 | ||
| 8 | |||
|
STEP 5: DIVIDE 8 : 7 = 1 with a remainder of 1 |
|||
| 1 | 1 | ||
| 7 | 7 | 8 | 3 |
| – | 7 | ||
| 8 | |||
|
STEP 6: MULTIPLY 1 · 7 = 7 |
|||
| 1 | 1 | ||
| 7 | 7 | 8 | 3 |
| – | 7 | ||
| 8 | |||
| 7 | |||
|
STEP 7: SUBTRACT 8 - 7 = 1 |
|||
| 1 | 1 | ||
| 7 | 7 | 8 | 3 |
| – | 7 | ||
| 8 | |||
| – | 7 | ||
| 1 | |||
| STEP 8: BRING DOWN | |||
| 1 | 1 | ||
| 7 | 7 | 8 | 3 |
| – | 7 | ||
| 8 | |||
| – | 7 | ||
| 1 | 3 | ||
|
STEP 9: DIVIDE 13 : 7 = 1 with a remainder of 6 |
|||
| 1 | 1 | 1 | |
| 7 | 7 | 8 | 3 |
| – | 7 | ||
| 8 | |||
| – | 7 | ||
| 1 | 3 | ||
|
STEP 10: MULTIPLY 1 · 7 = 7 |
|||
| 1 | 1 | 1 | |
| 7 | 7 | 8 | 3 |
| – | 7 | ||
| 8 | |||
| – | 7 | ||
| 1 | 3 | ||
| 7 | |||
|
STEP 11: SUBTRACT 13 - 7 = 6 |
|||
| 1 | 1 | 1 | |
| 7 | 7 | 8 | 3 |
| – | 7 | ||
| 8 | |||
| – | 7 | ||
| 1 | 3 | ||
| – | 7 | ||
| 6 | |||
|
STEP 11: SUBTRACT 13 - 7 = 6 |
|||
| 1 | 1 | 1 | |
| 7 | 7 | 8 | 3 |
| – | 7 | ||
| 8 | |||
| – | 7 | ||
| 1 | 3 | ||
| – | 7 | ||
| 6 | |||
This page was created using
Long division calculator