416629 ÷ 35 
Our goal is to divide 416629 by 35.

Step 1:
4 divided by 35 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 35

Going ahead to step 2:
The number 35 fits into 41 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 35 from 41 and we're left with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 35

Moving on to step 3:
66 divided by 35 is 1 with a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 35 from 66 leaves us with 31.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 35

Moving on to step 4:
If we divide 316 by 35, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 119.0
Subtract 315 from 316 to get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 35

On to step 5:
35 can be fit into 12 0 times, resulting in a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 1190.0
If we subtract 0 from 12, we get 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 35

On to step 6:
35 can be fit into 129 3 times, resulting in a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 11903.0
The remainder is 24 after subtracting 105 from 129.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
240 divided by 35 is 6 with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 11903.6
Subtract 210 from 240 to 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.

Step 8:
When dividing 300 by 35, we get 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 11903.68
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.

Going ahead to step 9:
The number 35 fits into 200 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 11903.685
Subtract 175 from 200 to 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.

Moving on to step 10:
35 goes into 250 7 times with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 11903.6857
Deduct 245 from 250 and we're left 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 11:
35 can be fit into 50 1 times, resulting in a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 11903.68571
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.

On to step 12:
When dividing 150 by 35, we get 4 with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 11903.685714
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.

Step 13:
If we divide 100 by 35, we get 2 and a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 11903.6857142
Subtracting 70 from 100 leaves us 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.

Let's proceed to step 14:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 11903.68571428
Deduct 280 from 300 and we're left 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.

In conclusion, the division gives 11903.68571428 with a balance of 2e-08.