Let's divide 127781 by 58
We're looking to find how many times 58 goes into 127781.

Going ahead to step 1:
If we divide 1 by 58, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 58

On to step 2:
The number 58 fits into 12 0 times, leaving a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 58

On to step 3:
When dividing 127 by 58, we get 2 with a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 116 from 127, we get 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 58

Step 4:
58 can be fit into 117 2 times, resulting in a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 22.0
The remainder is 1 after subtracting 116 from 117.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 58

Let's proceed to step 5:
When dividing 18 by 58, we get 0 with a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 220.0
Deduct 0 from 18 and we're left with 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 58

Step 6:
58 can be fit into 181 3 times, resulting in a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 2203.0
The remainder is 7 after subtracting 174 from 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
The number 58 fits into 70 1 times, leaving a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 2203.1
The remainder is 12 after subtracting 58 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
58 goes into 120 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 2203.12
Deduct 116 from 120 and we're left 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.

On to step 9:
58 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 2203.12
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
58 goes into 400 6 times with a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 2203.1206
If we subtract 348 from 400, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 11:
58 can be fit into 520 8 times, resulting in a remainder of 56.
Put 8 as the next digit of the answer. 
Result so far: 2203.12068
Subtract 464 from 520 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 12:
The number 58 fits into 560 9 times, leaving a remainder of 38.
Put 9 as the next digit of the answer. 
Result so far: 2203.120689
If we take 522 away from 560, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 13:
58 goes into 380 6 times with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 2203.1206896
Subtracting 348 from 380 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 14:
58 goes into 320 5 times with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 2203.12068965
Subtracting 290 from 320 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 2203.12068965 with a balance of 3e-08.