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Question
What is the quotient and remainder when $ 21120 $ is divided by $ 6 $ ?
Answer
The quotient is 3520 and the remainder is 0.
Explanation
Division Table
|
| 0 | 3 | 5 | 2 | 0 |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 2 | |
| | – | 1 | 2 | |
| | | | 0 | |
| | | – | 0 | |
| | | | 0 | |
STEP 0: set up a division table
|
| | | | | |
6 | 2 | 1 | 1 | 2 | 0 |
STEP 1: DIVIDE 2 : 6 = 0 with a remainder of 2
|
| 0 | | | | |
6 | 2 | 1 | 1 | 2 | 0 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| 0 | | | | |
6 | 2 | 1 | 1 | 2 | 0 |
| 0 | | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| 0 | | | | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | | | | |
STEP 4: BRING DOWN
|
| 0 | | | | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
STEP 5: DIVIDE 21 : 6 = 3 with a remainder of 3
|
| 0 | 3 | | | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
STEP 6: MULTIPLY 3 · 6 = 18
|
| 0 | 3 | | | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
| 1 | 8 | | | |
STEP 7: SUBTRACT 21 - 18 = 3
|
| 0 | 3 | | | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | | | |
STEP 8: BRING DOWN
|
| 0 | 3 | | | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
STEP 9: DIVIDE 31 : 6 = 5 with a remainder of 1
|
| 0 | 3 | 5 | | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
STEP 10: MULTIPLY 5 · 6 = 30
|
| 0 | 3 | 5 | | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
| | 3 | 0 | | |
STEP 11: SUBTRACT 31 - 30 = 1
|
| 0 | 3 | 5 | | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | | |
STEP 12: BRING DOWN
|
| 0 | 3 | 5 | | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 2 | |
STEP 13: DIVIDE 12 : 6 = 2 with a remainder of 0
|
| 0 | 3 | 5 | 2 | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 2 | |
STEP 14: MULTIPLY 2 · 6 = 12
|
| 0 | 3 | 5 | 2 | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 2 | |
| | | 1 | 2 | |
STEP 15: SUBTRACT 12 - 12 = 0
|
| 0 | 3 | 5 | 2 | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 2 | |
| | – | 1 | 2 | |
| | | | 0 | |
STEP 16: BRING DOWN
|
| 0 | 3 | 5 | 2 | |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 2 | |
| | – | 1 | 2 | |
| | | | 0 | |
STEP 17: DIVIDE 0 : 6 = 0 with a remainder of 0
|
| 0 | 3 | 5 | 2 | 0 |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 2 | |
| | – | 1 | 2 | |
| | | | 0 | |
STEP 18: MULTIPLY 0 · 6 = 0
|
| 0 | 3 | 5 | 2 | 0 |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 2 | |
| | – | 1 | 2 | |
| | | | 0 | |
| | | | 0 | |
STEP 19: SUBTRACT 0 - 0 = 0
|
| 0 | 3 | 5 | 2 | 0 |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 2 | |
| | – | 1 | 2 | |
| | | | 0 | |
| | | – | 0 | |
| | | | 0 | |
STEP 19: SUBTRACT 0 - 0 = 0
|
| 0 | 3 | 5 | 2 | 0 |
6 | 2 | 1 | 1 | 2 | 0 |
– | 0 | | | | |
| 2 | 1 | | | |
– | 1 | 8 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 2 | |
| | – | 1 | 2 | |
| | | | 0 | |
| | | – | 0 | |
| | | | 0 | |
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