74176241 ÷ 686 
We want to figure out the number of times 74176241 can be divided by 686.

Going ahead to step 1:
If we divide 7 by 686, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 686

On to step 2:
If we divide 74 by 686, we get 0 and a remainder of 74.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 74 leaves us with 74.
Append the next digit (1) from the dividend to 74 and continue with: 741 / 686

On to step 3:
If we divide 741 by 686, we get 1 and a remainder of 55.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 55 after subtracting 686 from 741.
Include the next digit (7) from the dividend after 55, then repeat: 557 / 686

On to step 4:
When dividing 557 by 686, we get 0 with a remainder of 557.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 557 leaves us with 557.
Grab the next digit (6) from the dividend, add it to 557, then carry on: 5576 / 686

Let's proceed to step 5:
The number 686 fits into 5576 8 times, leaving a remainder of 88.
Put 8 as the next digit of the answer. 
Result so far: 108.0
Subtract 5488 from 5576 to get 88.
Grab the next digit (2) from the dividend, add it to 88, then carry on: 882 / 686

Let's proceed to step 6:
686 can be fit into 882 1 times, resulting in a remainder of 196.
Put 1 as the next digit of the answer. 
Result so far: 1081.0
If we take 686 away from 882, we end up with 196.
Append the next digit (4) from the dividend to 196 and continue with: 1964 / 686

On to step 7:
If we divide 1964 by 686, we get 2 and a remainder of 592.
Write down 2 as next digit of the result. 
Result so far: 10812.0
If we take 1372 away from 1964, we end up with 592.
Grab the next digit (1) from the dividend, add it to 592, then carry on: 5921 / 686

Let's proceed to step 8:
The number 686 fits into 5921 8 times, leaving a remainder of 433.
Put 8 as the next digit of the answer. 
Result so far: 108128.0
Deduct 5488 from 5921 and we're left with 433.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4330, and continue the process.

Advancing to step 9:
When dividing 4330 by 686, we get 6 with a remainder of 214.
Write down 6 as next digit of the result. 
Result so far: 108128.6
If we take 4116 away from 4330, we end up with 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Advancing to step 10:
686 can be fit into 2140 3 times, resulting in a remainder of 82.
The number 3 becomes the next digit in our result. 
Result so far: 108128.63
If we subtract 2058 from 2140, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

On to step 11:
820 divided by 686 is 1 with a remainder of 134.
Use 1 as the next digit of our solution. 
Result so far: 108128.631
If we take 686 away from 820, we end up with 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1340, and continue the process.

Let's proceed to step 12:
686 can be fit into 1340 1 times, resulting in a remainder of 654.
Put 1 as the next digit of the answer. 
Result so far: 108128.6311
Subtract 686 from 1340 to get 654.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6540, and continue the process.

The final result is 108128.6311 with a remainder of 0.00654.