579634 ÷ 35 
Our goal is to divide 579634 by 35.

Let's proceed to step 1:
If we divide 5 by 35, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 35

Step 2:
35 goes into 57 1 times with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 22 after subtracting 35 from 57.
Fetch the next digit (9) from the dividend, attach it to 22 and continue: 229 / 35

On to step 3:
229 divided by 35 is 6 with a remainder of 19.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Subtract 210 from 229 to get 19.
Grab the next digit (6) from the dividend, add it to 19, then carry on: 196 / 35

On to step 4:
35 goes into 196 5 times with a remainder of 21.
Put 5 as the next digit of the answer. 
Result so far: 165.0
Subtracting 175 from 196 leaves us with 21.
Grab the next digit (3) from the dividend, add it to 21, then carry on: 213 / 35

Advancing to step 5:
The number 35 fits into 213 6 times, leaving a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 1656.0
Subtracting 210 from 213 leaves us with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 35

Advancing to step 6:
34 divided by 35 is 0 with a remainder of 34.
The next digit of our result is 0. 
Result so far: 16560.0
Subtracting 0 from 34 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
35 goes into 340 9 times with a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 16560.9
If we subtract 315 from 340, 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.

Step 8:
250 divided by 35 is 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 16560.97
If we take 245 away from 250, we end up 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.

Advancing to step 9:
50 divided by 35 is 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 16560.971
If we take 35 away from 50, we end up 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 10:
150 divided by 35 is 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 16560.9714
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.

Going ahead to step 11:
When dividing 100 by 35, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 16560.97142
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.

Advancing to step 12:
The number 35 fits into 300 8 times, leaving a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 16560.971428
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.

Going ahead to step 13:
35 goes into 200 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 16560.9714285
Subtracting 175 from 200 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 14:
The number 35 fits into 250 7 times, leaving a remainder of 5.
The next digit of our result is 7. 
Result so far: 16560.97142857
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.

In conclusion, the division gives 16560.97142857 with a balance of 5e-09.