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What is the quotient and remainder when $ 1158 $ is divided by $ 34 $ ?
Answer
The quotient is 34 and the remainder is 2.
Explanation
|
Division Table
|
| | | 0 | 0 | 3 | 4 |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 5 | |
| | – | 1 | 0 | 2 | |
| | | | 1 | 3 | 8 |
| | | – | 1 | 3 | 6 |
| | | | | | 2 |
STEP 0:
set up a division table
|
| | | | | | |
| 3 | 4 | 1 | 1 | 5 | 8 |
STEP 1: DIVIDE
1 : 34 = 0 with a remainder of 1
|
| | | 0 | | | |
| 3 | 4 | 1 | 1 | 5 | 8 |
STEP 2: MULTIPLY
0 · 34 = 0
|
| | | 0 | | | |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | | 0 | | | |
STEP 3: SUBTRACT
1 - 0 = 1
|
| | | 0 | | | |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
STEP 5: DIVIDE
11 : 34 = 0 with a remainder of 11
|
| | | 0 | 0 | | |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
STEP 6: MULTIPLY
0 · 34 = 0
|
| | | 0 | 0 | | |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | | 0 | | |
STEP 7: SUBTRACT
11 - 0 = 11
|
| | | 0 | 0 | | |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 5 | |
STEP 9: DIVIDE
115 : 34 = 3 with a remainder of 13
|
| | | 0 | 0 | 3 | |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 5 | |
STEP 10: MULTIPLY
3 · 34 = 102
|
| | | 0 | 0 | 3 | |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 5 | |
| | | 1 | 0 | 2 | |
STEP 11: SUBTRACT
115 - 102 = 13
|
| | | 0 | 0 | 3 | |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 5 | |
| | – | 1 | 0 | 2 | |
| | | | 1 | 3 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 3 | |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 5 | |
| | – | 1 | 0 | 2 | |
| | | | 1 | 3 | 8 |
STEP 13: DIVIDE
138 : 34 = 4 with a remainder of 2
|
| | | 0 | 0 | 3 | 4 |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 5 | |
| | – | 1 | 0 | 2 | |
| | | | 1 | 3 | 8 |
STEP 14: MULTIPLY
4 · 34 = 136
|
| | | 0 | 0 | 3 | 4 |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 5 | |
| | – | 1 | 0 | 2 | |
| | | | 1 | 3 | 8 |
| | | | 1 | 3 | 6 |
STEP 15: SUBTRACT
138 - 136 = 2
|
| | | 0 | 0 | 3 | 4 |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 5 | |
| | – | 1 | 0 | 2 | |
| | | | 1 | 3 | 8 |
| | | – | 1 | 3 | 6 |
| | | | | | 2 |
STEP 15: SUBTRACT
138 - 136 = 2
|
| | | 0 | 0 | 3 | 4 |
| 3 | 4 | 1 | 1 | 5 | 8 |
| | – | 0 | | | |
| | | 1 | 1 | | |
| | | – | 0 | | |
| | | 1 | 1 | 5 | |
| | – | 1 | 0 | 2 | |
| | | | 1 | 3 | 8 |
| | | – | 1 | 3 | 6 |
| | | | | | 2 |
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