◀ back to index
Question
What is the quotient and remainder when $ 67812 $ is divided by $ 61 $ ?
Answer
The quotient is 1111 and the remainder is 41.
Explanation
|
Division Table
|
| | | 0 | 1 | 1 | 1 | 1 |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
| | | – | 6 | 1 | | |
| | | | | 7 | 1 | |
| | | | – | 6 | 1 | |
| | | | | 1 | 0 | 2 |
| | | | | – | 6 | 1 |
| | | | | | 4 | 1 |
STEP 0: set up a division table
|
| | | | | | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
STEP 1: DIVIDE 6 : 61 = 0 with a remainder of 6
|
| | | 0 | | | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
STEP 2: MULTIPLY 0 · 61 = 0
|
| | | 0 | | | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | | 0 | | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
STEP 5: DIVIDE 67 : 61 = 1 with a remainder of 6
|
| | | 0 | 1 | | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
STEP 6: MULTIPLY 1 · 61 = 61
|
| | | 0 | 1 | | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | | 6 | 1 | | | |
STEP 7: SUBTRACT 67 - 61 = 6
|
| | | 0 | 1 | | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
STEP 9: DIVIDE 68 : 61 = 1 with a remainder of 7
|
| | | 0 | 1 | 1 | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
STEP 10: MULTIPLY 1 · 61 = 61
|
| | | 0 | 1 | 1 | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
| | | | 6 | 1 | | |
STEP 11: SUBTRACT 68 - 61 = 7
|
| | | 0 | 1 | 1 | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
| | | – | 6 | 1 | | |
| | | | | 7 | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 1 | | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
| | | – | 6 | 1 | | |
| | | | | 7 | 1 | |
STEP 13: DIVIDE 71 : 61 = 1 with a remainder of 10
|
| | | 0 | 1 | 1 | 1 | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
| | | – | 6 | 1 | | |
| | | | | 7 | 1 | |
STEP 14: MULTIPLY 1 · 61 = 61
|
| | | 0 | 1 | 1 | 1 | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
| | | – | 6 | 1 | | |
| | | | | 7 | 1 | |
| | | | | 6 | 1 | |
STEP 15: SUBTRACT 71 - 61 = 10
|
| | | 0 | 1 | 1 | 1 | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
| | | – | 6 | 1 | | |
| | | | | 7 | 1 | |
| | | | – | 6 | 1 | |
| | | | | 1 | 0 | |
|
STEP 16: BRING DOWN
|
| | | 0 | 1 | 1 | 1 | |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
| | | – | 6 | 1 | | |
| | | | | 7 | 1 | |
| | | | – | 6 | 1 | |
| | | | | 1 | 0 | 2 |
STEP 17: DIVIDE 102 : 61 = 1 with a remainder of 41
|
| | | 0 | 1 | 1 | 1 | 1 |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
| | | – | 6 | 1 | | |
| | | | | 7 | 1 | |
| | | | – | 6 | 1 | |
| | | | | 1 | 0 | 2 |
STEP 18: MULTIPLY 1 · 61 = 61
|
| | | 0 | 1 | 1 | 1 | 1 |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
| | | – | 6 | 1 | | |
| | | | | 7 | 1 | |
| | | | – | 6 | 1 | |
| | | | | 1 | 0 | 2 |
| | | | | | 6 | 1 |
STEP 19: SUBTRACT 102 - 61 = 41
|
| | | 0 | 1 | 1 | 1 | 1 |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
| | | – | 6 | 1 | | |
| | | | | 7 | 1 | |
| | | | – | 6 | 1 | |
| | | | | 1 | 0 | 2 |
| | | | | – | 6 | 1 |
| | | | | | 4 | 1 |
STEP 19: SUBTRACT 102 - 61 = 41
|
| | | 0 | 1 | 1 | 1 | 1 |
| 6 | 1 | 6 | 7 | 8 | 1 | 2 |
| | – | 0 | | | | |
| | | 6 | 7 | | | |
| | – | 6 | 1 | | | |
| | | | 6 | 8 | | |
| | | – | 6 | 1 | | |
| | | | | 7 | 1 | |
| | | | – | 6 | 1 | |
| | | | | 1 | 0 | 2 |
| | | | | – | 6 | 1 |
| | | | | | 4 | 1 |
This page was created using
Long division calculator