We divide 37314 by 71
We want to figure out the number of times 37314 can be divided by 71.

Let's proceed to step 1:
71 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 71

On to step 2:
The number 71 fits into 37 0 times, leaving a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Append the next digit (3) from the dividend to 37 and continue with: 373 / 71

Step 3:
When dividing 373 by 71, we get 5 with a remainder of 18.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 355 from 373 leaves us with 18.
Grab the next digit (1) from the dividend, add it to 18, then carry on: 181 / 71

On to step 4:
71 can be fit into 181 2 times, resulting in a remainder of 39.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
Subtracting 142 from 181 leaves us with 39.
Include the next digit (4) from the dividend after 39, then repeat: 394 / 71

Advancing to step 5:
71 goes into 394 5 times with a remainder of 39.
Record the quotient 5 as the next digit in the result. 
Result so far: 525.0
The remainder is 39 after subtracting 355 from 394.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 6:
71 can be fit into 390 5 times, resulting in a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 525.5
If we subtract 355 from 390, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 7:
71 goes into 350 4 times with a remainder of 66.
Record the quotient 4 as the next digit in the result. 
Result so far: 525.54
Subtracting 284 from 350 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 8:
71 can be fit into 660 9 times, resulting in a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 525.549
Deduct 639 from 660 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 9:
The number 71 fits into 210 2 times, leaving a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 525.5492
If we take 142 away from 210, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 10:
71 goes into 680 9 times with a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 525.54929
If we take 639 away from 680, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 11:
71 goes into 410 5 times with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 525.549295
Subtract 355 from 410 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 12:
The number 71 fits into 550 7 times, leaving a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 525.5492957
Deduct 497 from 550 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 13:
71 can be fit into 530 7 times, resulting in a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 525.54929577
The remainder is 33 after subtracting 497 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 525.54929577 with a remainder of 3.3e-08.