634421 ÷ 35 
We want to divide 634421 by 35.

On to step 1:
When dividing 6 by 35, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 35

Going ahead to step 2:
35 can be fit into 63 1 times, resulting in a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 35 from 63 and we're left with 28.
Take the next digit (4) from the dividend and append it to 28, then repeat: 284 / 35

Step 3:
When dividing 284 by 35, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 18.0
If we take 280 away from 284, we end up with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 35

On to step 4:
If we divide 44 by 35, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 181.0
Deduct 35 from 44 and we're left with 9.
Take the next digit (2) from the dividend and append it to 9, then repeat: 92 / 35

Step 5:
The number 35 fits into 92 2 times, leaving a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 1812.0
Subtract 70 from 92 to get 22.
Append the next digit (1) from the dividend to 22 and continue with: 221 / 35

Going ahead to step 6:
When dividing 221 by 35, we get 6 with a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 18126.0
Subtract 210 from 221 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
35 can be fit into 110 3 times, resulting in a remainder of 5.
The next digit of our result is 3. 
Result so far: 18126.3
If we take 105 away from 110, 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.

Moving on to step 8:
35 goes into 50 1 times with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 18126.31
Subtract 35 from 50 to get 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 9:
150 divided by 35 is 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 18126.314
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.

Step 10:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 18126.3142
The remainder is 30 after subtracting 70 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
If we divide 300 by 35, we get 8 and a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 18126.31428
Subtracting 280 from 300 leaves us 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 12:
The number 35 fits into 200 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 18126.314285
Deduct 175 from 200 and we're left 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.

Step 13:
35 goes into 250 7 times with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 18126.3142857
Subtract 245 from 250 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
35 can be fit into 50 1 times, resulting in a remainder of 15.
The next digit of our result is 1. 
Result so far: 18126.31428571
The remainder is 15 after subtracting 35 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 18126.31428571, with a leftover of 1.5e-08.