We look at the division of 186123 by 19 
We're looking to find how many times 19 goes into 186123.

Let's proceed to step 1:
When dividing 1 by 19, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 19

Moving on to step 2:
19 goes into 18 0 times with a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 18 leaves us with 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 19

Advancing to step 3:
If we divide 186 by 19, we get 9 and a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 9.0
The remainder is 15 after subtracting 171 from 186.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 19

Moving on to step 4:
If we divide 151 by 19, we get 7 and a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 97.0
Deduct 133 from 151 and we're left with 18.
Take the next digit (2) from the dividend and append it to 18, then repeat: 182 / 19

Let's proceed to step 5:
19 goes into 182 9 times with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 979.0
If we take 171 away from 182, we end up with 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 19

Going ahead to step 6:
113 divided by 19 is 5 with a remainder of 18.
Use 5 as the next digit of our solution. 
Result so far: 9795.0
Deduct 95 from 113 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
If we divide 180 by 19, we get 9 and a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 9795.9
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 8:
19 can be fit into 90 4 times, resulting in a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 9795.94
Subtracting 76 from 90 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
When dividing 140 by 19, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 9795.947
If we take 133 away from 140, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 10:
19 goes into 70 3 times with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 9795.9473
If we take 57 away from 70, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 11:
19 goes into 130 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 9795.94736
If we take 114 away from 130, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
When dividing 160 by 19, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 9795.947368
Subtracting 152 from 160 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
When dividing 80 by 19, we get 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 9795.9473684
Subtracting 76 from 80 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.

Let's proceed to step 14:
19 can be fit into 40 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 9795.94736842
Deduct 38 from 40 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 9795.94736842 with a balance of 2e-09.