◀ back to index
Question
What is the quotient and remainder when $ 402 $ is divided by $ 6 $ ?
Answer
The quotient is 67 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 6 | 7 |
| 6 | 4 | 0 | 2 |
| – | 0 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | 2 |
| | – | 4 | 2 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
| 6 | 4 | 0 | 2 |
STEP 1: DIVIDE 4 : 6 = 0 with a remainder of 4
|
| | 0 | | |
| 6 | 4 | 0 | 2 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | |
| 6 | 4 | 0 | 2 |
| | 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | |
| 6 | 4 | 0 | 2 |
| – | 0 | | |
| | 4 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 6 | 4 | 0 | 2 |
| – | 0 | | |
| | 4 | 0 | |
STEP 5: DIVIDE 40 : 6 = 6 with a remainder of 4
|
| | 0 | 6 | |
| 6 | 4 | 0 | 2 |
| – | 0 | | |
| | 4 | 0 | |
STEP 6: MULTIPLY 6 · 6 = 36
|
| | 0 | 6 | |
| 6 | 4 | 0 | 2 |
| – | 0 | | |
| | 4 | 0 | |
| | 3 | 6 | |
STEP 7: SUBTRACT 40 - 36 = 4
|
| | 0 | 6 | |
| 6 | 4 | 0 | 2 |
| – | 0 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | |
|
STEP 8: BRING DOWN
|
| | 0 | 6 | |
| 6 | 4 | 0 | 2 |
| – | 0 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | 2 |
STEP 9: DIVIDE 42 : 6 = 7 with a remainder of 0
|
| | 0 | 6 | 7 |
| 6 | 4 | 0 | 2 |
| – | 0 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | 2 |
STEP 10: MULTIPLY 7 · 6 = 42
|
| | 0 | 6 | 7 |
| 6 | 4 | 0 | 2 |
| – | 0 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | 2 |
| | | 4 | 2 |
STEP 11: SUBTRACT 42 - 42 = 0
|
| | 0 | 6 | 7 |
| 6 | 4 | 0 | 2 |
| – | 0 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | 2 |
| | – | 4 | 2 |
| | | | 0 |
STEP 11: SUBTRACT 42 - 42 = 0
|
| | 0 | 6 | 7 |
| 6 | 4 | 0 | 2 |
| – | 0 | | |
| | 4 | 0 | |
| – | 3 | 6 | |
| | | 4 | 2 |
| | – | 4 | 2 |
| | | | 0 |
This page was created using
Long division calculator