We look at the division of 88123 by 19 
Our goal is to divide 88123 by 19.

Advancing to step 1:
19 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 19

Advancing to step 2:
When dividing 88 by 19, we get 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 76 from 88 to get 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 19

On to step 3:
If we divide 121 by 19, we get 6 and a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 46.0
The remainder is 7 after subtracting 114 from 121.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 19

Step 4:
If we divide 72 by 19, we get 3 and a remainder of 15.
The next digit of our result is 3. 
Result so far: 463.0
Deduct 57 from 72 and we're left with 15.
Append the next digit (3) from the dividend to 15 and continue with: 153 / 19

Moving on to step 5:
153 divided by 19 is 8 with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 4638.0
Deduct 152 from 153 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.

Moving on to step 6:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 4638.0
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.

Step 7:
100 divided by 19 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 4638.05
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.

Going ahead to step 8:
When dividing 50 by 19, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 4638.052
If we take 38 away from 50, 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.

Advancing to step 9:
19 goes into 120 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 4638.0526
Deduct 114 from 120 and we're left 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.

Let's proceed to step 10:
When dividing 60 by 19, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 4638.05263
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:
19 can be fit into 30 1 times, resulting in a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 4638.052631
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.

Advancing to step 12:
110 divided by 19 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 4638.0526315
Subtracting 95 from 110 leaves us 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:
The number 19 fits into 150 7 times, leaving a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 4638.05263157
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.

The final result is 4638.05263157 with a remainder of 1.7e-08.