We're dividing 186123 by 19 
We're looking to find how many times 19 goes into 186123.

Step 1:
The number 19 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 19

Let's proceed to step 2:
The number 19 fits into 18 0 times, leaving 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.
Append the next digit (6) from the dividend to 18 and continue with: 186 / 19

Moving on to step 3:
The number 19 fits into 186 9 times, leaving a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 171 from 186 to get 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 19

Going ahead to step 4:
19 can be fit into 151 7 times, resulting in a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 97.0
Subtracting 133 from 151 leaves us with 18.
Grab the next digit (2) from the dividend, add it to 18, then carry on: 182 / 19

Advancing to step 5:
The number 19 fits into 182 9 times, leaving a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 979.0
The remainder is 11 after subtracting 171 from 182.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 19

On to step 6:
When dividing 113 by 19, we get 5 with a remainder of 18.
The number 5 becomes the next digit in our result. 
Result so far: 9795.0
Subtract 95 from 113 to 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.

Moving on to step 7:
180 divided by 19 is 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 9795.9
Subtracting 171 from 180 leaves us 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.

Step 8:
19 goes into 90 4 times with 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.

Advancing to step 9:
The number 19 fits into 140 7 times, leaving a remainder of 7.
The number 7 becomes the next digit in our result. 
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:
When dividing 70 by 19, we get 3 with a remainder of 13.
Record the quotient 3 as the next digit in 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.

On to step 11:
130 divided by 19 is 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 9795.94736
Subtract 114 from 130 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
160 divided by 19 is 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 9795.947368
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
80 divided by 19 is 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.

Step 14:
40 divided by 19 is 2 with 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.

The final result is 9795.94736842 with a remainder of 2e-09.