12120 ÷ 19 
Our goal is to divide 12120 by 19.

Going ahead to step 1:
The number 19 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 19

Advancing to step 2:
12 divided by 19 is 0 with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 19

Advancing to step 3:
If we divide 121 by 19, we get 6 and a remainder of 7.
The next digit of our result is 6. 
Result so far: 6.0
If we take 114 away from 121, we end up with 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 19

On to step 4:
72 divided by 19 is 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 63.0
If we take 57 away from 72, we end up with 15.
Append the next digit (0) from the dividend to 15 and continue with: 150 / 19

Let's proceed to step 5:
When dividing 150 by 19, we get 7 with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 637.0
Deduct 133 from 150 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 6:
19 can be fit into 170 8 times, resulting in a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 637.8
If we take 152 away from 170, we end up 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.

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: 637.89
Subtract 171 from 180 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
90 divided by 19 is 4 with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 637.894
Deduct 76 from 90 and we're left 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:
19 goes into 140 7 times with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 637.8947
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
If we divide 70 by 19, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 637.89473
The remainder is 13 after subtracting 57 from 70.
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:
If we divide 130 by 19, we get 6 and a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 637.894736
Subtracting 114 from 130 leaves us 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.

Step 12:
160 divided by 19 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 637.8947368
Subtract 152 from 160 to get 8.
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:
19 goes into 80 4 times with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 637.89473684
Subtract 76 from 80 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 637.89473684 with a balance of 4e-09.