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What is the quotient and remainder when $ 3289 $ is divided by $ 38 $ ?
Answer
The quotient is 86 and the remainder is 21.
Explanation
Division Table
|
| | 0 | 0 | 8 | 6 |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
| | – | 0 | | |
| | 3 | 2 | 8 | |
| – | 3 | 0 | 4 | |
| | | 2 | 4 | 9 |
| | – | 2 | 2 | 8 |
| | | | 2 | 1 |
STEP 0: set up a division table
|
| | | | | |
3 | 8 | 3 | 2 | 8 | 9 |
STEP 1: DIVIDE 3 : 38 = 0 with a remainder of 3
|
| | 0 | | | |
3 | 8 | 3 | 2 | 8 | 9 |
STEP 2: MULTIPLY 0 · 38 = 0
|
| | 0 | | | |
3 | 8 | 3 | 2 | 8 | 9 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
STEP 5: DIVIDE 32 : 38 = 0 with a remainder of 32
|
| | 0 | 0 | | |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
STEP 6: MULTIPLY 0 · 38 = 0
|
| | 0 | 0 | | |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
| | | 0 | | |
STEP 7: SUBTRACT 32 - 0 = 32
|
| | 0 | 0 | | |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
| | – | 0 | | |
| | 3 | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
| | – | 0 | | |
| | 3 | 2 | 8 | |
STEP 9: DIVIDE 328 : 38 = 8 with a remainder of 24
|
| | 0 | 0 | 8 | |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
| | – | 0 | | |
| | 3 | 2 | 8 | |
STEP 10: MULTIPLY 8 · 38 = 304
|
| | 0 | 0 | 8 | |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
| | – | 0 | | |
| | 3 | 2 | 8 | |
| | 3 | 0 | 4 | |
STEP 11: SUBTRACT 328 - 304 = 24
|
| | 0 | 0 | 8 | |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
| | – | 0 | | |
| | 3 | 2 | 8 | |
| – | 3 | 0 | 4 | |
| | | 2 | 4 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 8 | |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
| | – | 0 | | |
| | 3 | 2 | 8 | |
| – | 3 | 0 | 4 | |
| | | 2 | 4 | 9 |
STEP 13: DIVIDE 249 : 38 = 6 with a remainder of 21
|
| | 0 | 0 | 8 | 6 |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
| | – | 0 | | |
| | 3 | 2 | 8 | |
| – | 3 | 0 | 4 | |
| | | 2 | 4 | 9 |
STEP 14: MULTIPLY 6 · 38 = 228
|
| | 0 | 0 | 8 | 6 |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
| | – | 0 | | |
| | 3 | 2 | 8 | |
| – | 3 | 0 | 4 | |
| | | 2 | 4 | 9 |
| | | 2 | 2 | 8 |
STEP 15: SUBTRACT 249 - 228 = 21
|
| | 0 | 0 | 8 | 6 |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
| | – | 0 | | |
| | 3 | 2 | 8 | |
| – | 3 | 0 | 4 | |
| | | 2 | 4 | 9 |
| | – | 2 | 2 | 8 |
| | | | 2 | 1 |
STEP 15: SUBTRACT 249 - 228 = 21
|
| | 0 | 0 | 8 | 6 |
3 | 8 | 3 | 2 | 8 | 9 |
| – | 0 | | | |
| | 3 | 2 | | |
| | – | 0 | | |
| | 3 | 2 | 8 | |
| – | 3 | 0 | 4 | |
| | | 2 | 4 | 9 |
| | – | 2 | 2 | 8 |
| | | | 2 | 1 |
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