535876 ÷ 35 
We want to figure out the number of times 535876 can be divided by 35.

Going ahead to step 1:
The number 35 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 35

Step 2:
35 goes into 53 1 times with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 18 after subtracting 35 from 53.
Take the next digit (5) from the dividend and append it to 18, then repeat: 185 / 35

Step 3:
35 can be fit into 185 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 15.0
If we take 175 away from 185, we end up with 10.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 35

Step 4:
If we divide 108 by 35, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 153.0
The remainder is 3 after subtracting 105 from 108.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 35

Moving on to step 5:
When dividing 37 by 35, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1531.0
If we take 35 away from 37, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 35

Going ahead to step 6:
35 goes into 26 0 times with a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 15310.0
If we take 0 away from 26, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
The number 35 fits into 260 7 times, leaving a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 15310.7
The remainder is 15 after subtracting 245 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
When dividing 150 by 35, we get 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 15310.74
If we subtract 140 from 150, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
If we divide 100 by 35, we get 2 and a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 15310.742
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 15310.7428
If we take 280 away from 300, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
If we divide 200 by 35, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 15310.74285
If we subtract 175 from 200, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 12:
35 goes into 250 7 times with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 15310.742857
The remainder is 5 after subtracting 245 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
When dividing 50 by 35, we get 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 15310.7428571
Deduct 35 from 50 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 14:
The number 35 fits into 150 4 times, leaving a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 15310.74285714
Deduct 140 from 150 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 15310.74285714, and the remainder is 1e-08.