We're dividing 58374 by 13 
Our goal is to divide 58374 by 13.

Step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 13

Going ahead to step 2:
The number 13 fits into 58 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 52 from 58 and we're left with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 13

Step 3:
63 divided by 13 is 4 with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 44.0
Subtract 52 from 63 to get 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 13

Going ahead to step 4:
If we divide 117 by 13, we get 9 and a remainder of 0.
The next digit of our result is 9. 
Result so far: 449.0
The remainder is 0 after subtracting 117 from 117.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 13

On to step 5:
4 divided by 13 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 4490.0
Subtract 0 from 4 to get 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 6:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 4490.3
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
When dividing 10 by 13, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 4490.3
Subtract 0 from 10 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.

Let's proceed to step 8:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 4490.307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 4490.3076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 4490.30769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 11:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 4490.307692
Subtracting 26 from 30 leaves us 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.

Going ahead to step 12:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 4490.3076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 13:
If we divide 10 by 13, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 4490.3076923
Subtract 0 from 10 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.

In conclusion, the division gives 4490.3076923 with a balance of 1e-08.