◀ back to index
Question
What is the quotient and remainder when $ 204 $ is divided by $ 6 $ ?
Answer
The quotient is 34 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 3 | 4 |
| 6 | 2 | 0 | 4 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 4 |
| | – | 2 | 4 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
| 6 | 2 | 0 | 4 |
STEP 1: DIVIDE 2 : 6 = 0 with a remainder of 2
|
| | 0 | | |
| 6 | 2 | 0 | 4 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | |
| 6 | 2 | 0 | 4 |
| | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | |
| 6 | 2 | 0 | 4 |
| – | 0 | | |
| | 2 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 6 | 2 | 0 | 4 |
| – | 0 | | |
| | 2 | 0 | |
STEP 5: DIVIDE 20 : 6 = 3 with a remainder of 2
|
| | 0 | 3 | |
| 6 | 2 | 0 | 4 |
| – | 0 | | |
| | 2 | 0 | |
STEP 6: MULTIPLY 3 · 6 = 18
|
| | 0 | 3 | |
| 6 | 2 | 0 | 4 |
| – | 0 | | |
| | 2 | 0 | |
| | 1 | 8 | |
STEP 7: SUBTRACT 20 - 18 = 2
|
| | 0 | 3 | |
| 6 | 2 | 0 | 4 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | |
|
STEP 8: BRING DOWN
|
| | 0 | 3 | |
| 6 | 2 | 0 | 4 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 4 |
STEP 9: DIVIDE 24 : 6 = 4 with a remainder of 0
|
| | 0 | 3 | 4 |
| 6 | 2 | 0 | 4 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 4 |
STEP 10: MULTIPLY 4 · 6 = 24
|
| | 0 | 3 | 4 |
| 6 | 2 | 0 | 4 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 4 |
| | | 2 | 4 |
STEP 11: SUBTRACT 24 - 24 = 0
|
| | 0 | 3 | 4 |
| 6 | 2 | 0 | 4 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 4 |
| | – | 2 | 4 |
| | | | 0 |
STEP 11: SUBTRACT 24 - 24 = 0
|
| | 0 | 3 | 4 |
| 6 | 2 | 0 | 4 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 4 |
| | – | 2 | 4 |
| | | | 0 |
This page was created using
Long division calculator