We divide 138874 by 29
We're looking to find how many times 29 goes into 138874.

Step 1:
The number 29 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 29

On to step 2:
When dividing 13 by 29, we get 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 29

Advancing to step 3:
138 divided by 29 is 4 with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 116 away from 138, we end up with 22.
Bring next digit (8) of the dividend behind the 22 and repeat the process: 228 / 29

On to step 4:
228 divided by 29 is 7 with a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 47.0
Subtract 203 from 228 to get 25.
Append the next digit (7) from the dividend to 25 and continue with: 257 / 29

Moving on to step 5:
29 goes into 257 8 times with a remainder of 25.
The next digit of our result is 8. 
Result so far: 478.0
Subtracting 232 from 257 leaves us with 25.
Take the next digit (4) from the dividend and append it to 25, then repeat: 254 / 29

Advancing to step 6:
When dividing 254 by 29, we get 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 4788.0
Subtracting 232 from 254 leaves us 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 7:
When dividing 220 by 29, we get 7 with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 4788.7
If we take 203 away from 220, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 8:
When dividing 170 by 29, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 4788.75
If we subtract 145 from 170, we 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 9:
When dividing 250 by 29, we get 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 4788.758
If we take 232 away from 250, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 10:
When dividing 180 by 29, we get 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 4788.7586
If we subtract 174 from 180, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
The number 29 fits into 60 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 4788.75862
If we subtract 58 from 60, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
The number 29 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 4788.75862
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.

Step 13:
29 can be fit into 200 6 times, resulting in a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 4788.7586206
Subtracting 174 from 200 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 14:
When dividing 260 by 29, we get 8 with a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 4788.75862068
Subtract 232 from 260 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 4788.75862068 with a remainder of 2.8e-08.