We look at the division of 43440356 by 637 
We want to figure out the number of times 43440356 can be divided by 637.

Let's proceed to step 1:
The number 637 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 637

Let's proceed to step 2:
637 can be fit into 43 0 times, resulting in a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Take the next digit (4) from the dividend and append it to 43, then repeat: 434 / 637

On to step 3:
637 goes into 434 0 times with a remainder of 434.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 434 leaves us with 434.
Append the next digit (4) from the dividend to 434 and continue with: 4344 / 637

Going ahead to step 4:
The number 637 fits into 4344 6 times, leaving a remainder of 522.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 3822 from 4344 leaves us with 522.
Take the next digit (0) from the dividend and append it to 522, then repeat: 5220 / 637

Step 5:
5220 divided by 637 is 8 with a remainder of 124.
Use 8 as the next digit of our solution. 
Result so far: 68.0
If we subtract 5096 from 5220, we get 124.
Append the next digit (3) from the dividend to 124 and continue with: 1243 / 637

Step 6:
637 goes into 1243 1 times with a remainder of 606.
Write down 1 as next digit of the result. 
Result so far: 681.0
Subtracting 637 from 1243 leaves us with 606.
Grab the next digit (5) from the dividend, add it to 606, then carry on: 6065 / 637

Step 7:
The number 637 fits into 6065 9 times, leaving a remainder of 332.
Write down 9 as next digit of the result. 
Result so far: 6819.0
The remainder is 332 after subtracting 5733 from 6065.
Take the next digit (6) from the dividend and append it to 332, then repeat: 3326 / 637

Step 8:
637 goes into 3326 5 times with a remainder of 141.
Put 5 as the next digit of the answer. 
Result so far: 68195.0
Deduct 3185 from 3326 and we're left with 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

Advancing to step 9:
637 can be fit into 1410 2 times, resulting in a remainder of 136.
The next digit of our result is 2. 
Result so far: 68195.2
If we take 1274 away from 1410, we end up with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

On to step 10:
637 can be fit into 1360 2 times, resulting in a remainder of 86.
The next digit of our result is 2. 
Result so far: 68195.22
If we subtract 1274 from 1360, we get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Our division results in 68195.22 with a remaining 0.086.