We're dividing 58638 by 19 
We're looking to find how many times 19 goes into 58638.

Moving on to step 1:
19 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 19

On to step 2:
The number 19 fits into 58 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 57 from 58 to get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 19

On to step 3:
19 can be fit into 16 0 times, resulting in a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 30.0
The remainder is 16 after subtracting 0 from 16.
Grab the next digit (3) from the dividend, add it to 16, then carry on: 163 / 19

Step 4:
If we divide 163 by 19, we get 8 and a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 308.0
If we take 152 away from 163, we end up with 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 19

Let's proceed to step 5:
118 divided by 19 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 3086.0
The remainder is 4 after subtracting 114 from 118.
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 6:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 3086.2
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
If we divide 20 by 19, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 3086.21
If we subtract 19 from 20, we 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.

Let's proceed to step 8:
10 divided by 19 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 3086.21
If we subtract 0 from 10, we 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:
19 can be fit into 100 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 3086.2105
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
When dividing 50 by 19, we get 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 3086.21052
Subtract 38 from 50 to 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 11:
120 divided by 19 is 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 3086.210526
Subtracting 114 from 120 leaves us 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.

Step 12:
19 can be fit into 60 3 times, resulting in a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 3086.2105263
The remainder is 3 after subtracting 57 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 13:
If we divide 30 by 19, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 3086.21052631
Subtract 19 from 30 to 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.

The final outcome is 3086.21052631, with a leftover of 1.1e-08.