We're dividing 37171032 by 681 
We want to figure out the number of times 37171032 can be divided by 681.

Advancing to step 1:
681 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 681

Advancing to step 2:
If we divide 37 by 681, we get 0 and a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 681

Advancing to step 3:
If we divide 371 by 681, we get 0 and a remainder of 371.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 371, we end up with 371.
Include the next digit (7) from the dividend after 371, then repeat: 3717 / 681

Advancing to step 4:
If we divide 3717 by 681, we get 5 and a remainder of 312.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 3405 away from 3717, we end up with 312.
Fetch the next digit (1) from the dividend, attach it to 312 and continue: 3121 / 681

On to step 5:
If we divide 3121 by 681, we get 4 and a remainder of 397.
Put 4 as the next digit of the answer. 
Result so far: 54.0
Subtracting 2724 from 3121 leaves us with 397.
Bring next digit (0) of the dividend behind the 397 and repeat the process: 3970 / 681

Step 6:
681 can be fit into 3970 5 times, resulting in a remainder of 565.
The next digit of our result is 5. 
Result so far: 545.0
The remainder is 565 after subtracting 3405 from 3970.
Include the next digit (3) from the dividend after 565, then repeat: 5653 / 681

Step 7:
If we divide 5653 by 681, we get 8 and a remainder of 205.
Put 8 as the next digit of the answer. 
Result so far: 5458.0
Deduct 5448 from 5653 and we're left with 205.
Grab the next digit (2) from the dividend, add it to 205, then carry on: 2052 / 681

Let's proceed to step 8:
The number 681 fits into 2052 3 times, leaving a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 54583.0
If we take 2043 away from 2052, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 9:
If we divide 90 by 681, we get 0 and a remainder of 90.
The number 0 becomes the next digit in our result. 
Result so far: 54583.0
If we subtract 0 from 90, we get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Moving on to step 10:
681 can be fit into 900 1 times, resulting in a remainder of 219.
The next digit of our result is 1. 
Result so far: 54583.01
Subtract 681 from 900 to get 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

Step 11:
2190 divided by 681 is 3 with a remainder of 147.
Write down 3 as next digit of the result. 
Result so far: 54583.013
If we take 2043 away from 2190, we end up with 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

Let's proceed to step 12:
The number 681 fits into 1470 2 times, leaving a remainder of 108.
The next digit of our result is 2. 
Result so far: 54583.0132
The remainder is 108 after subtracting 1362 from 1470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

On to step 13:
1080 divided by 681 is 1 with a remainder of 399.
The number 1 becomes the next digit in our result. 
Result so far: 54583.01321
Deduct 681 from 1080 and we're left with 399.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3990, and continue the process.

On to step 14:
If we divide 3990 by 681, we get 5 and a remainder of 585.
The number 5 becomes the next digit in our result. 
Result so far: 54583.013215
If we take 3405 away from 3990, we end up with 585.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5850, and continue the process.

Step 15:
If we divide 5850 by 681, we get 8 and a remainder of 402.
Write down 8 as next digit of the result. 
Result so far: 54583.0132158
Deduct 5448 from 5850 and we're left with 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Going ahead to step 16:
When dividing 4020 by 681, we get 5 with a remainder of 615.
The next digit of our result is 5. 
Result so far: 54583.01321585
Subtract 3405 from 4020 to get 615.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6150, and continue the process.

The final outcome is 54583.01321585, with a leftover of 6.15e-07.