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What is the quotient and remainder when $ 299 $ is divided by $ 21 $ ?
Answer
The quotient is 14 and the remainder is 5.
Explanation
Division Table
|
| | 0 | 1 | 4 |
2 | 1 | 2 | 9 | 9 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 1 | |
| | | 8 | 9 |
| | – | 8 | 4 |
| | | | 5 |
STEP 0: set up a division table
|
| | | | |
2 | 1 | 2 | 9 | 9 |
STEP 1: DIVIDE 2 : 21 = 0 with a remainder of 2
|
| | 0 | | |
2 | 1 | 2 | 9 | 9 |
STEP 2: MULTIPLY 0 · 21 = 0
|
| | 0 | | |
2 | 1 | 2 | 9 | 9 |
| | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | |
2 | 1 | 2 | 9 | 9 |
| – | 0 | | |
| | 2 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
2 | 1 | 2 | 9 | 9 |
| – | 0 | | |
| | 2 | 9 | |
STEP 5: DIVIDE 29 : 21 = 1 with a remainder of 8
|
| | 0 | 1 | |
2 | 1 | 2 | 9 | 9 |
| – | 0 | | |
| | 2 | 9 | |
STEP 6: MULTIPLY 1 · 21 = 21
|
| | 0 | 1 | |
2 | 1 | 2 | 9 | 9 |
| – | 0 | | |
| | 2 | 9 | |
| | 2 | 1 | |
STEP 7: SUBTRACT 29 - 21 = 8
|
| | 0 | 1 | |
2 | 1 | 2 | 9 | 9 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 1 | |
| | | 8 | |
STEP 8: BRING DOWN
|
| | 0 | 1 | |
2 | 1 | 2 | 9 | 9 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 1 | |
| | | 8 | 9 |
STEP 9: DIVIDE 89 : 21 = 4 with a remainder of 5
|
| | 0 | 1 | 4 |
2 | 1 | 2 | 9 | 9 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 1 | |
| | | 8 | 9 |
STEP 10: MULTIPLY 4 · 21 = 84
|
| | 0 | 1 | 4 |
2 | 1 | 2 | 9 | 9 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 1 | |
| | | 8 | 9 |
| | | 8 | 4 |
STEP 11: SUBTRACT 89 - 84 = 5
|
| | 0 | 1 | 4 |
2 | 1 | 2 | 9 | 9 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 1 | |
| | | 8 | 9 |
| | – | 8 | 4 |
| | | | 5 |
STEP 11: SUBTRACT 89 - 84 = 5
|
| | 0 | 1 | 4 |
2 | 1 | 2 | 9 | 9 |
| – | 0 | | |
| | 2 | 9 | |
| – | 2 | 1 | |
| | | 8 | 9 |
| | – | 8 | 4 |
| | | | 5 |
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