819666 ÷ 35 
Our goal is to divide 819666 by 35.

On to step 1:
8 divided by 35 is 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 35

Let's proceed to step 2:
35 can be fit into 81 2 times, resulting in a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 70 from 81 to get 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 35

Moving on to step 3:
35 goes into 119 3 times with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Subtract 105 from 119 to get 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 35

Step 4:
146 divided by 35 is 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 234.0
If we take 140 away from 146, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 35

Moving on to step 5:
When dividing 66 by 35, we get 1 with a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 2341.0
Deduct 35 from 66 and we're left with 31.
Bring next digit (6) of the dividend behind the 31 and repeat the process: 316 / 35

Going ahead to step 6:
316 divided by 35 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 23419.0
Deduct 315 from 316 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
The number 35 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 23419.0
If we take 0 away from 10, we end up 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.

Advancing to step 8:
100 divided by 35 is 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 23419.02
If we subtract 70 from 100, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
When dividing 300 by 35, we get 8 with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 23419.028
If we subtract 280 from 300, we 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.

On to step 10:
35 goes into 200 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 23419.0285
The remainder is 25 after subtracting 175 from 200.
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 11:
The number 35 fits into 250 7 times, leaving a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 23419.02857
Subtracting 245 from 250 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
When dividing 50 by 35, we get 1 with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 23419.028571
Subtracting 35 from 50 leaves us 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.

On to step 13:
35 goes into 150 4 times with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 23419.0285714
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
If we divide 100 by 35, we get 2 and a remainder of 30.
The next digit of our result is 2. 
Result so far: 23419.02857142
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.

In conclusion, the division gives 23419.02857142 with a balance of 3e-08.