We're dividing 76821 by 35 
Our goal is to divide 76821 by 35.

Going ahead to step 1:
35 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 35

On to step 2:
The number 35 fits into 76 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 6 after subtracting 70 from 76.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 35

Step 3:
35 goes into 68 1 times with a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 21.0
If we subtract 35 from 68, we get 33.
Append the next digit (2) from the dividend to 33 and continue with: 332 / 35

Step 4:
332 divided by 35 is 9 with a remainder of 17.
The next digit of our result is 9. 
Result so far: 219.0
Subtract 315 from 332 to get 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 35

Step 5:
35 can be fit into 171 4 times, resulting in a remainder of 31.
Use 4 as the next digit of our solution. 
Result so far: 2194.0
Subtract 140 from 171 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 6:
310 divided by 35 is 8 with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 2194.8
The remainder is 30 after subtracting 280 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
300 divided by 35 is 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 2194.88
Subtract 280 from 300 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 2194.88, with a leftover of 0.02.