We look at the division of 42765 by 29 
We want to figure out the number of times 42765 can be divided by 29.

Advancing to step 1:
If we divide 4 by 29, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 29

Let's proceed to step 2:
The number 29 fits into 42 1 times, leaving a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 29 from 42 leaves us with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 29

Step 3:
29 goes into 137 4 times with a remainder of 21.
Write down 4 as next digit of the result. 
Result so far: 14.0
Deduct 116 from 137 and we're left with 21.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 29

On to step 4:
216 divided by 29 is 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 147.0
Subtracting 203 from 216 leaves us with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 29

On to step 5:
29 can be fit into 135 4 times, resulting in a remainder of 19.
Use 4 as the next digit of our solution. 
Result so far: 1474.0
Deduct 116 from 135 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 6:
29 goes into 190 6 times with a remainder of 16.
The next digit of our result is 6. 
Result so far: 1474.6
The remainder is 16 after subtracting 174 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
29 can be fit into 160 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 1474.65
If we subtract 145 from 160, we 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.

Moving on to step 8:
29 goes into 150 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 1474.655
Subtracting 145 from 150 leaves us 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.

The final outcome is 1474.655, with a leftover of 0.0005.