back to index
What is the quotient and remainder when $ 5692 $ is divided by $ 6 $ ?
Answer
The quotient is 948 and the remainder is 4.
Explanation
Division Table
|
| 0 | 9 | 4 | 8 |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
– | 5 | 4 | | |
| | 2 | 9 | |
| – | 2 | 4 | |
| | | 5 | 2 |
| | – | 4 | 8 |
| | | | 4 |
STEP 0: set up a division table
|
| | | | |
6 | 5 | 6 | 9 | 2 |
STEP 1: DIVIDE 5 : 6 = 0 with a remainder of 5
|
| 0 | | | |
6 | 5 | 6 | 9 | 2 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| 0 | | | |
6 | 5 | 6 | 9 | 2 |
| 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| 0 | | | |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
STEP 5: DIVIDE 56 : 6 = 9 with a remainder of 2
|
| 0 | 9 | | |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
STEP 6: MULTIPLY 9 · 6 = 54
|
| 0 | 9 | | |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
| 5 | 4 | | |
STEP 7: SUBTRACT 56 - 54 = 2
|
| 0 | 9 | | |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
– | 5 | 4 | | |
| | 2 | | |
STEP 8: BRING DOWN
|
| 0 | 9 | | |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
– | 5 | 4 | | |
| | 2 | 9 | |
STEP 9: DIVIDE 29 : 6 = 4 with a remainder of 5
|
| 0 | 9 | 4 | |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
– | 5 | 4 | | |
| | 2 | 9 | |
STEP 10: MULTIPLY 4 · 6 = 24
|
| 0 | 9 | 4 | |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
– | 5 | 4 | | |
| | 2 | 9 | |
| | 2 | 4 | |
STEP 11: SUBTRACT 29 - 24 = 5
|
| 0 | 9 | 4 | |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
– | 5 | 4 | | |
| | 2 | 9 | |
| – | 2 | 4 | |
| | | 5 | |
STEP 12: BRING DOWN
|
| 0 | 9 | 4 | |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
– | 5 | 4 | | |
| | 2 | 9 | |
| – | 2 | 4 | |
| | | 5 | 2 |
STEP 13: DIVIDE 52 : 6 = 8 with a remainder of 4
|
| 0 | 9 | 4 | 8 |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
– | 5 | 4 | | |
| | 2 | 9 | |
| – | 2 | 4 | |
| | | 5 | 2 |
STEP 14: MULTIPLY 8 · 6 = 48
|
| 0 | 9 | 4 | 8 |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
– | 5 | 4 | | |
| | 2 | 9 | |
| – | 2 | 4 | |
| | | 5 | 2 |
| | | 4 | 8 |
STEP 15: SUBTRACT 52 - 48 = 4
|
| 0 | 9 | 4 | 8 |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
– | 5 | 4 | | |
| | 2 | 9 | |
| – | 2 | 4 | |
| | | 5 | 2 |
| | – | 4 | 8 |
| | | | 4 |
STEP 15: SUBTRACT 52 - 48 = 4
|
| 0 | 9 | 4 | 8 |
6 | 5 | 6 | 9 | 2 |
– | 0 | | | |
| 5 | 6 | | |
– | 5 | 4 | | |
| | 2 | 9 | |
| – | 2 | 4 | |
| | | 5 | 2 |
| | – | 4 | 8 |
| | | | 4 |
This page was created using
Long division calculator