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Question
What is the quotient and remainder when 6743 is divided by 21 ?
Answer
The quotient is 321 and the remainder is 2.
Explanation
Division Table
|
| | 0 | 3 | 2 | 1 |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 3 | | |
| | | 4 | 4 | |
| | – | 4 | 2 | |
| | | | 2 | 3 |
| | | – | 2 | 1 |
| | | | | 2 |
STEP 0: set up a division table
|
| | | | | |
2 | 1 | 6 | 7 | 4 | 3 |
STEP 1: DIVIDE 6 : 21 = 0 with a remainder of 6
|
| | 0 | | | |
2 | 1 | 6 | 7 | 4 | 3 |
STEP 2: MULTIPLY 0 · 21 = 0
|
| | 0 | | | |
2 | 1 | 6 | 7 | 4 | 3 |
| | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
STEP 5: DIVIDE 67 : 21 = 3 with a remainder of 4
|
| | 0 | 3 | | |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
STEP 6: MULTIPLY 3 · 21 = 63
|
| | 0 | 3 | | |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
| | 6 | 3 | | |
STEP 7: SUBTRACT 67 - 63 = 4
|
| | 0 | 3 | | |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 3 | | |
| | | 4 | | |
STEP 8: BRING DOWN
|
| | 0 | 3 | | |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 3 | | |
| | | 4 | 4 | |
STEP 9: DIVIDE 44 : 21 = 2 with a remainder of 2
|
| | 0 | 3 | 2 | |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 3 | | |
| | | 4 | 4 | |
STEP 10: MULTIPLY 2 · 21 = 42
|
| | 0 | 3 | 2 | |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 3 | | |
| | | 4 | 4 | |
| | | 4 | 2 | |
STEP 11: SUBTRACT 44 - 42 = 2
|
| | 0 | 3 | 2 | |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 3 | | |
| | | 4 | 4 | |
| | – | 4 | 2 | |
| | | | 2 | |
STEP 12: BRING DOWN
|
| | 0 | 3 | 2 | |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 3 | | |
| | | 4 | 4 | |
| | – | 4 | 2 | |
| | | | 2 | 3 |
STEP 13: DIVIDE 23 : 21 = 1 with a remainder of 2
|
| | 0 | 3 | 2 | 1 |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 3 | | |
| | | 4 | 4 | |
| | – | 4 | 2 | |
| | | | 2 | 3 |
STEP 14: MULTIPLY 1 · 21 = 21
|
| | 0 | 3 | 2 | 1 |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 3 | | |
| | | 4 | 4 | |
| | – | 4 | 2 | |
| | | | 2 | 3 |
| | | | 2 | 1 |
STEP 15: SUBTRACT 23 - 21 = 2
|
| | 0 | 3 | 2 | 1 |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 3 | | |
| | | 4 | 4 | |
| | – | 4 | 2 | |
| | | | 2 | 3 |
| | | – | 2 | 1 |
| | | | | 2 |
STEP 15: SUBTRACT 23 - 21 = 2
|
| | 0 | 3 | 2 | 1 |
2 | 1 | 6 | 7 | 4 | 3 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 3 | | |
| | | 4 | 4 | |
| | – | 4 | 2 | |
| | | | 2 | 3 |
| | | – | 2 | 1 |
| | | | | 2 |
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