We look at the division of 15623 by 58 
We want to figure out the number of times 15623 can be divided by 58.

Step 1:
If we divide 1 by 58, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 58

On to step 2:
58 can be fit into 15 0 times, resulting in a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Include the next digit (6) from the dividend after 15, then repeat: 156 / 58

Let's proceed to step 3:
156 divided by 58 is 2 with a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 116 away from 156, we end up with 40.
Bring next digit (2) of the dividend behind the 40 and repeat the process: 402 / 58

Advancing to step 4:
58 goes into 402 6 times with a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
If we take 348 away from 402, we end up with 54.
Fetch the next digit (3) from the dividend, attach it to 54 and continue: 543 / 58

Step 5:
543 divided by 58 is 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 269.0
Deduct 522 from 543 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 6:
210 divided by 58 is 3 with a remainder of 36.
The number 3 becomes the next digit in our result. 
Result so far: 269.3
Subtracting 174 from 210 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 7:
58 goes into 360 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 269.36
If we take 348 away from 360, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
The number 58 fits into 120 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 269.362
If we take 116 away from 120, 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.

Let's proceed to step 9:
When dividing 40 by 58, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 269.362
Subtracting 0 from 40 leaves us with 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:
When dividing 400 by 58, we get 6 with a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 269.36206
Subtract 348 from 400 to 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.

Step 11:
58 can be fit into 520 8 times, resulting in a remainder of 56.
The next digit of our result is 8. 
Result so far: 269.362068
Deduct 464 from 520 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 12:
560 divided by 58 is 9 with a remainder of 38.
Record the quotient 9 as the next digit in the result. 
Result so far: 269.3620689
If we subtract 522 from 560, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 13:
When dividing 380 by 58, we get 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 269.36206896
Deduct 348 from 380 and we're left 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.

After the division, we end up with 269.36206896 and a remainder of 3.2e-08.