Question
What is the quotient and remainder when $ 76 $ is divided by $ 13 $ ?
Answer
The quotient is 5 and the remainder is 11.
Explanation
| Division Table | |||
| 0 | 5 | ||
| 1 | 3 | 7 | 6 |
| – | 0 | ||
| 7 | 6 | ||
| – | 6 | 5 | |
| 1 | 1 | ||
|
STEP 0: set up a division table |
|||
| 1 | 3 | 7 | 6 |
|
STEP 1: DIVIDE 7 : 13 = 0 with a remainder of 7 |
|||
| 0 | |||
| 1 | 3 | 7 | 6 |
|
STEP 2: MULTIPLY 0 · 13 = 0 |
|||
| 0 | |||
| 1 | 3 | 7 | 6 |
| 0 | |||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
|||
| 0 | |||
| 1 | 3 | 7 | 6 |
| – | 0 | ||
| 7 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 3 | 7 | 6 |
| – | 0 | ||
| 7 | 6 | ||
|
STEP 5: DIVIDE 76 : 13 = 5 with a remainder of 11 |
|||
| 0 | 5 | ||
| 1 | 3 | 7 | 6 |
| – | 0 | ||
| 7 | 6 | ||
|
STEP 6: MULTIPLY 5 · 13 = 65 |
|||
| 0 | 5 | ||
| 1 | 3 | 7 | 6 |
| – | 0 | ||
| 7 | 6 | ||
| 6 | 5 | ||
|
STEP 7: SUBTRACT 76 - 65 = 11 |
|||
| 0 | 5 | ||
| 1 | 3 | 7 | 6 |
| – | 0 | ||
| 7 | 6 | ||
| – | 6 | 5 | |
| 1 | 1 | ||
|
STEP 7: SUBTRACT 76 - 65 = 11 |
|||
| 0 | 5 | ||
| 1 | 3 | 7 | 6 |
| – | 0 | ||
| 7 | 6 | ||
| – | 6 | 5 | |
| 1 | 1 | ||
This page was created using
Long division calculator