138869 ÷ 59 
We want to figure out the number of times 138869 can be divided by 59.

Advancing to step 1:
59 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 59

On to step 2:
If we divide 13 by 59, we get 0 and 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.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 59

Step 3:
When dividing 138 by 59, we get 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 118 from 138, we get 20.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 59

Advancing to step 4:
59 goes into 208 3 times with a remainder of 31.
The next digit of our result is 3. 
Result so far: 23.0
If we subtract 177 from 208, we get 31.
Grab the next digit (6) from the dividend, add it to 31, then carry on: 316 / 59

Going ahead to step 5:
If we divide 316 by 59, we get 5 and a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 235.0
Subtract 295 from 316 to get 21.
Append the next digit (9) from the dividend to 21 and continue with: 219 / 59

Advancing to step 6:
If we divide 219 by 59, we get 3 and a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 2353.0
Subtract 177 from 219 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
The number 59 fits into 420 7 times, leaving a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 2353.7
If we subtract 413 from 420, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 8:
59 goes into 70 1 times with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 2353.71
If we subtract 59 from 70, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
When dividing 110 by 59, we get 1 with a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 2353.711
The remainder is 51 after subtracting 59 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Our division results in 2353.711 with a remaining 0.0051.