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What is the quotient and remainder when $ 32037 $ is divided by $ 8 $ ?
Answer
The quotient is 4004 and the remainder is 5.
Explanation
|
Division Table
|
| | 0 | 4 | 0 | 0 | 4 |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 3 | | | |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | – | 3 | 2 | | |
| | | | 5 | | |
STEP 0:
set up a division table
|
| | | | | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
STEP 1: DIVIDE
3 : 8 = 0 with a remainder of 3
|
| | 0 | | | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
STEP 2: MULTIPLY
0 · 8 = 0
|
| | 0 | | | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| | 0 | | | | |
STEP 3: SUBTRACT
3 - 0 = 3
|
| | 0 | | | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
STEP 5: DIVIDE
32 : 8 = 4 with a remainder of 0
|
| | 0 | 4 | | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
STEP 6: MULTIPLY
4 · 8 = 32
|
| | 0 | 4 | | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| | 3 | 2 | | | |
STEP 7: SUBTRACT
32 - 32 = 0
|
| | 0 | 4 | | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
|
STEP 8: BRING DOWN
|
| | 0 | 4 | | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
STEP 9: DIVIDE
0 : 8 = 0 with a remainder of 0
|
| | 0 | 4 | 0 | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
STEP 10: MULTIPLY
0 · 8 = 0
|
| | 0 | 4 | 0 | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
| | | 0 | | | |
STEP 11: SUBTRACT
0 - 0 = 0
|
| | 0 | 4 | 0 | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 0 | | | |
|
STEP 12: BRING DOWN
|
| | 0 | 4 | 0 | | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 3 | | | |
STEP 13: DIVIDE
3 : 8 = 0 with a remainder of 3
|
| | 0 | 4 | 0 | 0 | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 3 | | | |
STEP 14: MULTIPLY
0 · 8 = 0
|
| | 0 | 4 | 0 | 0 | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 3 | | | |
| | | 0 | | | |
STEP 15: SUBTRACT
3 - 0 = 3
|
| | 0 | 4 | 0 | 0 | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 3 | | | |
| | – | 0 | | | |
| | | 3 | | | |
|
STEP 16: BRING DOWN
|
| | 0 | 4 | 0 | 0 | |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 3 | | | |
| | – | 0 | | | |
| | | 3 | 7 | | |
STEP 17: DIVIDE
37 : 8 = 4 with a remainder of 5
|
| | 0 | 4 | 0 | 0 | 4 |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 3 | | | |
| | – | 0 | | | |
| | | 3 | 7 | | |
STEP 18: MULTIPLY
4 · 8 = 32
|
| | 0 | 4 | 0 | 0 | 4 |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 3 | | | |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | | 3 | 2 | | |
STEP 19: SUBTRACT
37 - 32 = 5
|
| | 0 | 4 | 0 | 0 | 4 |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 3 | | | |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | – | 3 | 2 | | |
| | | | 5 | | |
STEP 19: SUBTRACT
37 - 32 = 5
|
| | 0 | 4 | 0 | 0 | 4 |
| 8 | 3 | 2 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 3 | 2 | | | |
| – | 3 | 2 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 3 | | | |
| | – | 0 | | | |
| | | 3 | 7 | | |
| | – | 3 | 2 | | |
| | | | 5 | | |
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