Question
What is the quotient and remainder when $ 10115 $ is divided by $ 12 $ ?
Answer
The quotient is 842 and the remainder is 11.
Explanation
| Division Table | ||||||
| 0 | 0 | 8 | 4 | 2 | ||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
| – | 9 | 6 | ||||
| 5 | 1 | |||||
| – | 4 | 8 | ||||
| 3 | 5 | |||||
| – | 2 | 4 | ||||
| 1 | 1 | |||||
|
STEP 0: set up a division table |
||||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
|
STEP 1: DIVIDE 1 : 12 = 0 with a remainder of 1 |
||||||
| 0 | ||||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
|
STEP 2: MULTIPLY 0 · 12 = 0 |
||||||
| 0 | ||||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| 0 | ||||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||||
| 0 | ||||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
|
STEP 5: DIVIDE 10 : 12 = 0 with a remainder of 10 |
||||||
| 0 | 0 | |||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
|
STEP 6: MULTIPLY 0 · 12 = 0 |
||||||
| 0 | 0 | |||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 10 - 0 = 10 |
||||||
| 0 | 0 | |||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
|
STEP 9: DIVIDE 101 : 12 = 8 with a remainder of 5 |
||||||
| 0 | 0 | 8 | ||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
|
STEP 10: MULTIPLY 8 · 12 = 96 |
||||||
| 0 | 0 | 8 | ||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
| 9 | 6 | |||||
|
STEP 11: SUBTRACT 101 - 96 = 5 |
||||||
| 0 | 0 | 8 | ||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
| – | 9 | 6 | ||||
| 5 | ||||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 8 | ||||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
| – | 9 | 6 | ||||
| 5 | 1 | |||||
|
STEP 13: DIVIDE 51 : 12 = 4 with a remainder of 3 |
||||||
| 0 | 0 | 8 | 4 | |||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
| – | 9 | 6 | ||||
| 5 | 1 | |||||
|
STEP 14: MULTIPLY 4 · 12 = 48 |
||||||
| 0 | 0 | 8 | 4 | |||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
| – | 9 | 6 | ||||
| 5 | 1 | |||||
| 4 | 8 | |||||
|
STEP 15: SUBTRACT 51 - 48 = 3 |
||||||
| 0 | 0 | 8 | 4 | |||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
| – | 9 | 6 | ||||
| 5 | 1 | |||||
| – | 4 | 8 | ||||
| 3 | ||||||
| STEP 16: BRING DOWN | ||||||
| 0 | 0 | 8 | 4 | |||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
| – | 9 | 6 | ||||
| 5 | 1 | |||||
| – | 4 | 8 | ||||
| 3 | 5 | |||||
|
STEP 17: DIVIDE 35 : 12 = 2 with a remainder of 11 |
||||||
| 0 | 0 | 8 | 4 | 2 | ||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
| – | 9 | 6 | ||||
| 5 | 1 | |||||
| – | 4 | 8 | ||||
| 3 | 5 | |||||
|
STEP 18: MULTIPLY 2 · 12 = 24 |
||||||
| 0 | 0 | 8 | 4 | 2 | ||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
| – | 9 | 6 | ||||
| 5 | 1 | |||||
| – | 4 | 8 | ||||
| 3 | 5 | |||||
| 2 | 4 | |||||
|
STEP 19: SUBTRACT 35 - 24 = 11 |
||||||
| 0 | 0 | 8 | 4 | 2 | ||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
| – | 9 | 6 | ||||
| 5 | 1 | |||||
| – | 4 | 8 | ||||
| 3 | 5 | |||||
| – | 2 | 4 | ||||
| 1 | 1 | |||||
|
STEP 19: SUBTRACT 35 - 24 = 11 |
||||||
| 0 | 0 | 8 | 4 | 2 | ||
| 1 | 2 | 1 | 0 | 1 | 1 | 5 |
| – | 0 | |||||
| 1 | 0 | |||||
| – | 0 | |||||
| 1 | 0 | 1 | ||||
| – | 9 | 6 | ||||
| 5 | 1 | |||||
| – | 4 | 8 | ||||
| 3 | 5 | |||||
| – | 2 | 4 | ||||
| 1 | 1 | |||||
This page was created using
Long division calculator