We're dividing 41977984 by 315 
We want to divide 41977984 by 315.

Going ahead to step 1:
4 divided by 315 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 315

Moving on to step 2:
If we divide 41 by 315, we get 0 and a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Include the next digit (9) from the dividend after 41, then repeat: 419 / 315

Moving on to step 3:
The number 315 fits into 419 1 times, leaving a remainder of 104.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 315 from 419 and we're left with 104.
Grab the next digit (7) from the dividend, add it to 104, then carry on: 1047 / 315

Moving on to step 4:
315 goes into 1047 3 times with a remainder of 102.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 945 from 1047 to get 102.
Bring next digit (7) of the dividend behind the 102 and repeat the process: 1027 / 315

Moving on to step 5:
If we divide 1027 by 315, we get 3 and a remainder of 82.
Write down 3 as next digit of the result. 
Result so far: 133.0
If we subtract 945 from 1027, we get 82.
Bring next digit (9) of the dividend behind the 82 and repeat the process: 829 / 315

Advancing to step 6:
829 divided by 315 is 2 with a remainder of 199.
The next digit of our result is 2. 
Result so far: 1332.0
If we take 630 away from 829, we end up with 199.
Take the next digit (8) from the dividend and append it to 199, then repeat: 1998 / 315

On to step 7:
315 can be fit into 1998 6 times, resulting in a remainder of 108.
Record the quotient 6 as the next digit in the result. 
Result so far: 13326.0
Deduct 1890 from 1998 and we're left with 108.
Bring next digit (4) of the dividend behind the 108 and repeat the process: 1084 / 315

Advancing to step 8:
315 goes into 1084 3 times with a remainder of 139.
The number 3 becomes the next digit in our result. 
Result so far: 133263.0
Subtracting 945 from 1084 leaves us with 139.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1390, and continue the process.

On to step 9:
1390 divided by 315 is 4 with a remainder of 130.
Use 4 as the next digit of our solution. 
Result so far: 133263.4
If we take 1260 away from 1390, we end up with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Let's proceed to step 10:
When dividing 1300 by 315, we get 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 133263.44
If we take 1260 away from 1300, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 133263.44 with a balance of 0.04.