back to index
What is the quotient and remainder when $ 6696 $ is divided by $ 62 $ ?
Answer
The quotient is 108 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 1 | 0 | 8 |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 2 | | |
| | | 4 | 9 | |
| | | – | 0 | |
| | | 4 | 9 | 6 |
| | – | 4 | 9 | 6 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
6 | 2 | 6 | 6 | 9 | 6 |
STEP 1: DIVIDE 6 : 62 = 0 with a remainder of 6
|
| | 0 | | | |
6 | 2 | 6 | 6 | 9 | 6 |
STEP 2: MULTIPLY 0 · 62 = 0
|
| | 0 | | | |
6 | 2 | 6 | 6 | 9 | 6 |
| | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
STEP 5: DIVIDE 66 : 62 = 1 with a remainder of 4
|
| | 0 | 1 | | |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
STEP 6: MULTIPLY 1 · 62 = 62
|
| | 0 | 1 | | |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
| | 6 | 2 | | |
STEP 7: SUBTRACT 66 - 62 = 4
|
| | 0 | 1 | | |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 2 | | |
| | | 4 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 2 | | |
| | | 4 | 9 | |
STEP 9: DIVIDE 49 : 62 = 0 with a remainder of 49
|
| | 0 | 1 | 0 | |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 2 | | |
| | | 4 | 9 | |
STEP 10: MULTIPLY 0 · 62 = 0
|
| | 0 | 1 | 0 | |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 2 | | |
| | | 4 | 9 | |
| | | | 0 | |
STEP 11: SUBTRACT 49 - 0 = 49
|
| | 0 | 1 | 0 | |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 2 | | |
| | | 4 | 9 | |
| | | – | 0 | |
| | | 4 | 9 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 0 | |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 2 | | |
| | | 4 | 9 | |
| | | – | 0 | |
| | | 4 | 9 | 6 |
STEP 13: DIVIDE 496 : 62 = 8 with a remainder of 0
|
| | 0 | 1 | 0 | 8 |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 2 | | |
| | | 4 | 9 | |
| | | – | 0 | |
| | | 4 | 9 | 6 |
STEP 14: MULTIPLY 8 · 62 = 496
|
| | 0 | 1 | 0 | 8 |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 2 | | |
| | | 4 | 9 | |
| | | – | 0 | |
| | | 4 | 9 | 6 |
| | | 4 | 9 | 6 |
STEP 15: SUBTRACT 496 - 496 = 0
|
| | 0 | 1 | 0 | 8 |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 2 | | |
| | | 4 | 9 | |
| | | – | 0 | |
| | | 4 | 9 | 6 |
| | – | 4 | 9 | 6 |
| | | | | 0 |
STEP 15: SUBTRACT 496 - 496 = 0
|
| | 0 | 1 | 0 | 8 |
6 | 2 | 6 | 6 | 9 | 6 |
| – | 0 | | | |
| | 6 | 6 | | |
| – | 6 | 2 | | |
| | | 4 | 9 | |
| | | – | 0 | |
| | | 4 | 9 | 6 |
| | – | 4 | 9 | 6 |
| | | | | 0 |
This page was created using
Long division calculator