Let's divide 139259 by 34
Our goal is to divide 139259 by 34.

Going ahead to step 1:
34 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 34

Advancing to step 2:
The number 34 fits into 13 0 times, leaving a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 34

On to step 3:
34 goes into 139 4 times with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 136 from 139 leaves us with 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 34

Moving on to step 4:
34 can be fit into 32 0 times, resulting in a remainder of 32.
Put 0 as the next digit of the answer. 
Result so far: 40.0
Deduct 0 from 32 and we're left with 32.
Take the next digit (5) from the dividend and append it to 32, then repeat: 325 / 34

Let's proceed to step 5:
34 goes into 325 9 times with a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 409.0
Subtracting 306 from 325 leaves us with 19.
Include the next digit (9) from the dividend after 19, then repeat: 199 / 34

Moving on to step 6:
34 goes into 199 5 times with a remainder of 29.
The next digit of our result is 5. 
Result so far: 4095.0
Deduct 170 from 199 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
34 can be fit into 290 8 times, resulting in a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 4095.8
The remainder is 18 after subtracting 272 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
34 can be fit into 180 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 4095.85
Subtract 170 from 180 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
34 can be fit into 100 2 times, resulting in a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 4095.852
Subtract 68 from 100 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 10:
34 goes into 320 9 times with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 4095.8529
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
34 can be fit into 140 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 4095.85294
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
The number 34 fits into 40 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 4095.852941
If we take 34 away from 40, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
If we divide 60 by 34, we get 1 and a remainder of 26.
The next digit of our result is 1. 
Result so far: 4095.8529411
Subtracting 34 from 60 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.

After the division, we end up with 4095.8529411 and a remainder of 2.6e-07.