We're dividing 123586 by 19 
We want to figure out the number of times 123586 can be divided by 19.

Moving on to step 1:
If we divide 1 by 19, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 19

Going ahead to step 2:
19 goes into 12 0 times with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 19

Moving on to step 3:
19 can be fit into 123 6 times, resulting in a remainder of 9.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 9 after subtracting 114 from 123.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 19

Going ahead to step 4:
When dividing 95 by 19, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
If we subtract 95 from 95, we get 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 19

On to step 5:
If we divide 8 by 19, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 650.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 19

Going ahead to step 6:
The number 19 fits into 86 4 times, leaving a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 6504.0
The remainder is 10 after subtracting 76 from 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
19 can be fit into 100 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 6504.5
If we take 95 away from 100, we end up with 5.
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 8:
If we divide 50 by 19, we get 2 and a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 6504.52
Deduct 38 from 50 and we're left 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 9:
19 can be fit into 120 6 times, resulting in a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 6504.526
If we take 114 away from 120, we end up 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.

Advancing to step 10:
19 goes into 60 3 times with a remainder of 3.
The next digit of our result is 3. 
Result so far: 6504.5263
If we take 57 away from 60, 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.

Going ahead to step 11:
30 divided by 19 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 6504.52631
If we take 19 away from 30, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 12:
19 goes into 110 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 6504.526315
If we take 95 away from 110, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 13:
When dividing 150 by 19, we get 7 with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 6504.5263157
The remainder is 17 after subtracting 133 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 14:
19 goes into 170 8 times with a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 6504.52631578
If we subtract 152 from 170, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 6504.52631578 with a remainder of 1.8e-08.