We're dividing 43579340 by 126 
We want to divide 43579340 by 126.

On to step 1:
126 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 126

Advancing to step 2:
126 can be fit into 43 0 times, resulting in a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Grab the next digit (5) from the dividend, add it to 43, then carry on: 435 / 126

Let's proceed to step 3:
When dividing 435 by 126, we get 3 with a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 378 from 435 and we're left with 57.
Grab the next digit (7) from the dividend, add it to 57, then carry on: 577 / 126

Step 4:
126 can be fit into 577 4 times, resulting in a remainder of 73.
Use 4 as the next digit of our solution. 
Result so far: 34.0
Subtracting 504 from 577 leaves us with 73.
Include the next digit (9) from the dividend after 73, then repeat: 739 / 126

On to step 5:
126 goes into 739 5 times with a remainder of 109.
Put 5 as the next digit of the answer. 
Result so far: 345.0
If we subtract 630 from 739, we get 109.
Append the next digit (3) from the dividend to 109 and continue with: 1093 / 126

Step 6:
126 goes into 1093 8 times with a remainder of 85.
Use 8 as the next digit of our solution. 
Result so far: 3458.0
Deduct 1008 from 1093 and we're left with 85.
Take the next digit (4) from the dividend and append it to 85, then repeat: 854 / 126

Going ahead to step 7:
The number 126 fits into 854 6 times, leaving a remainder of 98.
Write down 6 as next digit of the result. 
Result so far: 34586.0
The remainder is 98 after subtracting 756 from 854.
Grab the next digit (0) from the dividend, add it to 98, then carry on: 980 / 126

Step 8:
When dividing 980 by 126, we get 7 with a remainder of 98.
The next digit of our result is 7. 
Result so far: 345867.0
Subtract 882 from 980 to get 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Let's proceed to step 9:
126 can be fit into 980 7 times, resulting in a remainder of 98.
Put 7 as the next digit of the answer. 
Result so far: 345867.7
If we take 882 away from 980, we end up with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Moving on to step 10:
126 goes into 980 7 times with a remainder of 98.
Use 7 as the next digit of our solution. 
Result so far: 345867.77
Subtracting 882 from 980 leaves us with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

The final result is 345867.77 with a remainder of 0.098.