We're dividing 35885298 by 876 
We want to figure out the number of times 35885298 can be divided by 876.

On to step 1:
876 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 876

Moving on to step 2:
The number 876 fits into 35 0 times, leaving a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Take the next digit (8) from the dividend and append it to 35, then repeat: 358 / 876

Advancing to step 3:
876 goes into 358 0 times with a remainder of 358.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 358, we end up with 358.
Bring next digit (8) of the dividend behind the 358 and repeat the process: 3588 / 876

Moving on to step 4:
3588 divided by 876 is 4 with a remainder of 84.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 3504 from 3588 and we're left with 84.
Take the next digit (5) from the dividend and append it to 84, then repeat: 845 / 876

Moving on to step 5:
876 goes into 845 0 times with a remainder of 845.
The next digit of our result is 0. 
Result so far: 40.0
If we take 0 away from 845, we end up with 845.
Grab the next digit (2) from the dividend, add it to 845, then carry on: 8452 / 876

On to step 6:
8452 divided by 876 is 9 with a remainder of 568.
The number 9 becomes the next digit in our result. 
Result so far: 409.0
Deduct 7884 from 8452 and we're left with 568.
Grab the next digit (9) from the dividend, add it to 568, then carry on: 5689 / 876

Advancing to step 7:
5689 divided by 876 is 6 with a remainder of 433.
Put 6 as the next digit of the answer. 
Result so far: 4096.0
The remainder is 433 after subtracting 5256 from 5689.
Append the next digit (8) from the dividend to 433 and continue with: 4338 / 876

Let's proceed to step 8:
The number 876 fits into 4338 4 times, leaving a remainder of 834.
The number 4 becomes the next digit in our result. 
Result so far: 40964.0
If we take 3504 away from 4338, we end up with 834.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8340, and continue the process.

Advancing to step 9:
When dividing 8340 by 876, we get 9 with a remainder of 456.
The next digit of our result is 9. 
Result so far: 40964.9
If we subtract 7884 from 8340, we get 456.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4560, and continue the process.

Step 10:
The number 876 fits into 4560 5 times, leaving a remainder of 180.
The number 5 becomes the next digit in our result. 
Result so far: 40964.95
If we take 4380 away from 4560, we end up with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Moving on to step 11:
The number 876 fits into 1800 2 times, leaving a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 40964.952
The remainder is 48 after subtracting 1752 from 1800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 12:
480 divided by 876 is 0 with a remainder of 480.
Put 0 as the next digit of the answer. 
Result so far: 40964.952
If we take 0 away from 480, we end up with 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Moving on to step 13:
When dividing 4800 by 876, we get 5 with a remainder of 420.
Put 5 as the next digit of the answer. 
Result so far: 40964.95205
If we take 4380 away from 4800, we end up with 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Moving on to step 14:
If we divide 4200 by 876, we get 4 and a remainder of 696.
Record the quotient 4 as the next digit in the result. 
Result so far: 40964.952054
Subtract 3504 from 4200 to get 696.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6960, and continue the process.

Advancing to step 15:
876 goes into 6960 7 times with a remainder of 828.
Record the quotient 7 as the next digit in the result. 
Result so far: 40964.9520547
The remainder is 828 after subtracting 6132 from 6960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8280, and continue the process.

Let's proceed to step 16:
876 goes into 8280 9 times with a remainder of 396.
The number 9 becomes the next digit in our result. 
Result so far: 40964.95205479
Deduct 7884 from 8280 and we're left with 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

The final outcome is 40964.95205479, with a leftover of 3.96e-07.