8629 ÷ 42 
We want to divide 8629 by 42.

Let's proceed to step 1:
8 divided by 42 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 42

Step 2:
42 can be fit into 86 2 times, resulting in a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 84 from 86 to get 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 42

Let's proceed to step 3:
If we divide 22 by 42, we get 0 and a remainder of 22.
The next digit of our result is 0. 
Result so far: 20.0
The remainder is 22 after subtracting 0 from 22.
Fetch the next digit (9) from the dividend, attach it to 22 and continue: 229 / 42

Advancing to step 4:
229 divided by 42 is 5 with a remainder of 19.
The next digit of our result is 5. 
Result so far: 205.0
If we subtract 210 from 229, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 5:
When dividing 190 by 42, we get 4 with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 205.4
Deduct 168 from 190 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 6:
42 goes into 220 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 205.45
The remainder is 10 after subtracting 210 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
42 can be fit into 100 2 times, resulting in a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 205.452
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 205.4523
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 9:
The number 42 fits into 340 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 205.45238
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
42 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 205.45238
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 11:
42 can be fit into 400 9 times, resulting in a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 205.4523809
The remainder is 22 after subtracting 378 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 12:
The number 42 fits into 220 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 205.45238095
If we take 210 away from 220, 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.

The final result is 205.45238095 with a remainder of 1e-08.