We look at the division of 35090069 by 876 
We're looking to find how many times 876 goes into 35090069.

Advancing to step 1:
The number 876 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 876

Moving on to step 2:
35 divided by 876 is 0 with a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Include the next digit (0) from the dividend after 35, then repeat: 350 / 876

Let's proceed to step 3:
If we divide 350 by 876, we get 0 and a remainder of 350.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 350 after subtracting 0 from 350.
Take the next digit (9) from the dividend and append it to 350, then repeat: 3509 / 876

Advancing to step 4:
876 can be fit into 3509 4 times, resulting in a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 3504 from 3509, we get 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 876

Advancing to step 5:
876 can be fit into 50 0 times, resulting in a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 40.0
Deduct 0 from 50 and we're left with 50.
Grab the next digit (0) from the dividend, add it to 50, then carry on: 500 / 876

Going ahead to step 6:
876 goes into 500 0 times with a remainder of 500.
Put 0 as the next digit of the answer. 
Result so far: 400.0
Subtracting 0 from 500 leaves us with 500.
Bring next digit (6) of the dividend behind the 500 and repeat the process: 5006 / 876

Step 7:
If we divide 5006 by 876, we get 5 and a remainder of 626.
The next digit of our result is 5. 
Result so far: 4005.0
If we take 4380 away from 5006, we end up with 626.
Take the next digit (9) from the dividend and append it to 626, then repeat: 6269 / 876

Let's proceed to step 8:
If we divide 6269 by 876, we get 7 and a remainder of 137.
Record the quotient 7 as the next digit in the result. 
Result so far: 40057.0
Deduct 6132 from 6269 and we're left with 137.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1370, and continue the process.

Step 9:
If we divide 1370 by 876, we get 1 and a remainder of 494.
Use 1 as the next digit of our solution. 
Result so far: 40057.1
If we take 876 away from 1370, we end up with 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

On to step 10:
876 goes into 4940 5 times with a remainder of 560.
The next digit of our result is 5. 
Result so far: 40057.15
The remainder is 560 after subtracting 4380 from 4940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

Moving on to step 11:
The number 876 fits into 5600 6 times, leaving a remainder of 344.
Write down 6 as next digit of the result. 
Result so far: 40057.156
If we take 5256 away from 5600, we end up with 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

On to step 12:
876 goes into 3440 3 times with a remainder of 812.
Record the quotient 3 as the next digit in the result. 
Result so far: 40057.1563
If we take 2628 away from 3440, we end up with 812.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8120, and continue the process.

Moving on to step 13:
876 can be fit into 8120 9 times, resulting in a remainder of 236.
Write down 9 as next digit of the result. 
Result so far: 40057.15639
Deduct 7884 from 8120 and we're left with 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

Step 14:
876 can be fit into 2360 2 times, resulting in a remainder of 608.
Use 2 as the next digit of our solution. 
Result so far: 40057.156392
Subtracting 1752 from 2360 leaves us with 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

Step 15:
If we divide 6080 by 876, we get 6 and a remainder of 824.
The next digit of our result is 6. 
Result so far: 40057.1563926
The remainder is 824 after subtracting 5256 from 6080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8240, and continue the process.

Advancing to step 16:
876 can be fit into 8240 9 times, resulting in a remainder of 356.
Write down 9 as next digit of the result. 
Result so far: 40057.15639269
If we subtract 7884 from 8240, we get 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

The final outcome is 40057.15639269, with a leftover of 3.56e-07.