40629 ÷ 3 
We want to divide 40629 by 3.

On to step 1:
When dividing 4 by 3, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 3 from 4 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 3

On to step 2:
3 goes into 10 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 13.0
If we take 9 away from 10, we end up with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 3

On to step 3:
3 goes into 16 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.0
If we subtract 15 from 16, we get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 3

Advancing to step 4:
3 goes into 12 4 times with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 1354.0
The remainder is 0 after subtracting 12 from 12.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 3

Advancing to step 5:
3 can be fit into 9 3 times, resulting in a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 13543.0
Subtract 9 from 9 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 6:
If we divide 0 by 3, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 13543.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
3 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 13543.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 13543.0 and a remainder of 0.0.