Question
What is the quotient and remainder when $ 958 $ is divided by $ 8 $ ?
Answer
The quotient is 119 and the remainder is 6.
Explanation
| Division Table | |||
| 1 | 1 | 9 | |
| 8 | 9 | 5 | 8 |
| – | 8 | ||
| 1 | 5 | ||
| – | 8 | ||
| 7 | 8 | ||
| – | 7 | 2 | |
| 6 | |||
|
STEP 0: set up a division table |
|||
| 8 | 9 | 5 | 8 |
|
STEP 1: DIVIDE 9 : 8 = 1 with a remainder of 1 |
|||
| 1 | |||
| 8 | 9 | 5 | 8 |
|
STEP 2: MULTIPLY 1 · 8 = 8 |
|||
| 1 | |||
| 8 | 9 | 5 | 8 |
| 8 | |||
|
STEP 3: SUBTRACT 9 - 8 = 1 |
|||
| 1 | |||
| 8 | 9 | 5 | 8 |
| – | 8 | ||
| 1 | |||
| STEP 4: BRING DOWN | |||
| 1 | |||
| 8 | 9 | 5 | 8 |
| – | 8 | ||
| 1 | 5 | ||
|
STEP 5: DIVIDE 15 : 8 = 1 with a remainder of 7 |
|||
| 1 | 1 | ||
| 8 | 9 | 5 | 8 |
| – | 8 | ||
| 1 | 5 | ||
|
STEP 6: MULTIPLY 1 · 8 = 8 |
|||
| 1 | 1 | ||
| 8 | 9 | 5 | 8 |
| – | 8 | ||
| 1 | 5 | ||
| 8 | |||
|
STEP 7: SUBTRACT 15 - 8 = 7 |
|||
| 1 | 1 | ||
| 8 | 9 | 5 | 8 |
| – | 8 | ||
| 1 | 5 | ||
| – | 8 | ||
| 7 | |||
| STEP 8: BRING DOWN | |||
| 1 | 1 | ||
| 8 | 9 | 5 | 8 |
| – | 8 | ||
| 1 | 5 | ||
| – | 8 | ||
| 7 | 8 | ||
|
STEP 9: DIVIDE 78 : 8 = 9 with a remainder of 6 |
|||
| 1 | 1 | 9 | |
| 8 | 9 | 5 | 8 |
| – | 8 | ||
| 1 | 5 | ||
| – | 8 | ||
| 7 | 8 | ||
|
STEP 10: MULTIPLY 9 · 8 = 72 |
|||
| 1 | 1 | 9 | |
| 8 | 9 | 5 | 8 |
| – | 8 | ||
| 1 | 5 | ||
| – | 8 | ||
| 7 | 8 | ||
| 7 | 2 | ||
|
STEP 11: SUBTRACT 78 - 72 = 6 |
|||
| 1 | 1 | 9 | |
| 8 | 9 | 5 | 8 |
| – | 8 | ||
| 1 | 5 | ||
| – | 8 | ||
| 7 | 8 | ||
| – | 7 | 2 | |
| 6 | |||
|
STEP 11: SUBTRACT 78 - 72 = 6 |
|||
| 1 | 1 | 9 | |
| 8 | 9 | 5 | 8 |
| – | 8 | ||
| 1 | 5 | ||
| – | 8 | ||
| 7 | 8 | ||
| – | 7 | 2 | |
| 6 | |||
This page was created using
Long division calculator