We're dividing 37689628 by 681 
Our goal is to divide 37689628 by 681.

On to step 1:
The number 681 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 681

Step 2:
If we divide 37 by 681, we get 0 and a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Grab the next digit (6) from the dividend, add it to 37, then carry on: 376 / 681

On to step 3:
If we divide 376 by 681, we get 0 and a remainder of 376.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 376 leaves us with 376.
Fetch the next digit (8) from the dividend, attach it to 376 and continue: 3768 / 681

Step 4:
The number 681 fits into 3768 5 times, leaving a remainder of 363.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 363 after subtracting 3405 from 3768.
Fetch the next digit (9) from the dividend, attach it to 363 and continue: 3639 / 681

Step 5:
681 can be fit into 3639 5 times, resulting in a remainder of 234.
Write down 5 as next digit of the result. 
Result so far: 55.0
If we subtract 3405 from 3639, we get 234.
Include the next digit (6) from the dividend after 234, then repeat: 2346 / 681

On to step 6:
681 can be fit into 2346 3 times, resulting in a remainder of 303.
Use 3 as the next digit of our solution. 
Result so far: 553.0
Deduct 2043 from 2346 and we're left with 303.
Fetch the next digit (2) from the dividend, attach it to 303 and continue: 3032 / 681

Moving on to step 7:
The number 681 fits into 3032 4 times, leaving a remainder of 308.
The next digit of our result is 4. 
Result so far: 5534.0
If we take 2724 away from 3032, we end up with 308.
Append the next digit (8) from the dividend to 308 and continue with: 3088 / 681

Let's proceed to step 8:
681 can be fit into 3088 4 times, resulting in a remainder of 364.
The next digit of our result is 4. 
Result so far: 55344.0
The remainder is 364 after subtracting 2724 from 3088.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3640, and continue the process.

Going ahead to step 9:
When dividing 3640 by 681, we get 5 with a remainder of 235.
Put 5 as the next digit of the answer. 
Result so far: 55344.5
The remainder is 235 after subtracting 3405 from 3640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2350, and continue the process.

On to step 10:
When dividing 2350 by 681, we get 3 with a remainder of 307.
Write down 3 as next digit of the result. 
Result so far: 55344.53
Subtracting 2043 from 2350 leaves us with 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

Advancing to step 11:
681 can be fit into 3070 4 times, resulting in a remainder of 346.
Use 4 as the next digit of our solution. 
Result so far: 55344.534
If we take 2724 away from 3070, we end up with 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Moving on to step 12:
If we divide 3460 by 681, we get 5 and a remainder of 55.
The next digit of our result is 5. 
Result so far: 55344.5345
The remainder is 55 after subtracting 3405 from 3460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 13:
681 goes into 550 0 times with a remainder of 550.
Use 0 as the next digit of our solution. 
Result so far: 55344.5345
If we take 0 away from 550, we end up with 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5500, and continue the process.

Going ahead to step 14:
5500 divided by 681 is 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 55344.534508
If we subtract 5448 from 5500, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 15:
681 can be fit into 520 0 times, resulting in a remainder of 520.
The next digit of our result is 0. 
Result so far: 55344.534508
If we take 0 away from 520, we end up with 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Advancing to step 16:
5200 divided by 681 is 7 with a remainder of 433.
Use 7 as the next digit of our solution. 
Result so far: 55344.53450807
Subtract 4767 from 5200 to get 433.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4330, and continue the process.

The final outcome is 55344.53450807, with a leftover of 4.33e-07.