40955174 ÷ 681 
Our goal is to divide 40955174 by 681.

Advancing to step 1:
681 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 681

Let's proceed to step 2:
681 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 40 and we're left with 40.
Grab the next digit (9) from the dividend, add it to 40, then carry on: 409 / 681

Let's proceed to step 3:
The number 681 fits into 409 0 times, leaving a remainder of 409.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 409, we get 409.
Include the next digit (5) from the dividend after 409, then repeat: 4095 / 681

Advancing to step 4:
When dividing 4095 by 681, we get 6 with a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 4086 from 4095 to get 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 681

Advancing to step 5:
95 divided by 681 is 0 with a remainder of 95.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
If we subtract 0 from 95, we get 95.
Include the next digit (1) from the dividend after 95, then repeat: 951 / 681

Moving on to step 6:
If we divide 951 by 681, we get 1 and a remainder of 270.
The next digit of our result is 1. 
Result so far: 601.0
Deduct 681 from 951 and we're left with 270.
Grab the next digit (7) from the dividend, add it to 270, then carry on: 2707 / 681

On to step 7:
681 can be fit into 2707 3 times, resulting in a remainder of 664.
Put 3 as the next digit of the answer. 
Result so far: 6013.0
If we take 2043 away from 2707, we end up with 664.
Include the next digit (4) from the dividend after 664, then repeat: 6644 / 681

Let's proceed to step 8:
If we divide 6644 by 681, we get 9 and a remainder of 515.
The next digit of our result is 9. 
Result so far: 60139.0
Deduct 6129 from 6644 and we're left with 515.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5150, and continue the process.

Going ahead to step 9:
5150 divided by 681 is 7 with a remainder of 383.
The number 7 becomes the next digit in our result. 
Result so far: 60139.7
The remainder is 383 after subtracting 4767 from 5150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3830, and continue the process.

Moving on to step 10:
When dividing 3830 by 681, we get 5 with a remainder of 425.
Put 5 as the next digit of the answer. 
Result so far: 60139.75
Subtracting 3405 from 3830 leaves us with 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4250, and continue the process.

Going ahead to step 11:
When dividing 4250 by 681, we get 6 with a remainder of 164.
The number 6 becomes the next digit in our result. 
Result so far: 60139.756
The remainder is 164 after subtracting 4086 from 4250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Let's proceed to step 12:
681 goes into 1640 2 times with a remainder of 278.
Write down 2 as next digit of the result. 
Result so far: 60139.7562
Deduct 1362 from 1640 and we're left with 278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

On to step 13:
681 can be fit into 2780 4 times, resulting in a remainder of 56.
The next digit of our result is 4. 
Result so far: 60139.75624
Subtracting 2724 from 2780 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 14:
681 can be fit into 560 0 times, resulting in a remainder of 560.
Use 0 as the next digit of our solution. 
Result so far: 60139.75624
Deduct 0 from 560 and we're left with 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

Moving on to step 15:
681 can be fit into 5600 8 times, resulting in a remainder of 152.
Write down 8 as next digit of the result. 
Result so far: 60139.7562408
If we subtract 5448 from 5600, we get 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Advancing to step 16:
681 can be fit into 1520 2 times, resulting in a remainder of 158.
The next digit of our result is 2. 
Result so far: 60139.75624082
If we subtract 1362 from 1520, we get 158.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1580, and continue the process.

Our division results in 60139.75624082 with a remaining 1.58e-07.