629057 ÷ 45 
We want to divide 629057 by 45.

Moving on to step 1:
When dividing 6 by 45, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 45

Advancing to step 2:
When dividing 62 by 45, we get 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 45 from 62 leaves us with 17.
Fetch the next digit (9) from the dividend, attach it to 17 and continue: 179 / 45

Step 3:
179 divided by 45 is 3 with a remainder of 44.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 135 from 179 and we're left with 44.
Append the next digit (0) from the dividend to 44 and continue with: 440 / 45

Let's proceed to step 4:
440 divided by 45 is 9 with a remainder of 35.
Use 9 as the next digit of our solution. 
Result so far: 139.0
Deduct 405 from 440 and we're left with 35.
Fetch the next digit (5) from the dividend, attach it to 35 and continue: 355 / 45

Advancing to step 5:
When dividing 355 by 45, we get 7 with a remainder of 40.
Use 7 as the next digit of our solution. 
Result so far: 1397.0
The remainder is 40 after subtracting 315 from 355.
Include the next digit (7) from the dividend after 40, then repeat: 407 / 45

Let's proceed to step 6:
45 can be fit into 407 9 times, resulting in a remainder of 2.
The next digit of our result is 9. 
Result so far: 13979.0
Subtracting 405 from 407 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
20 divided by 45 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 13979.0
Subtract 0 from 20 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.

Advancing to step 8:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 13979.04
If we take 180 away from 200, we end up 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.

Step 9:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 13979.044
If we take 180 away from 200, we end up 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.

Our division results in 13979.044 with a remaining 0.002.