We look at the division of 121158 by 19 
We want to figure out the number of times 121158 can be divided by 19.

Moving on to step 1:
When dividing 1 by 19, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 19

On to step 2:
19 goes into 12 0 times with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 19

Step 3:
19 goes into 121 6 times with a remainder of 7.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 114 from 121 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 19

On to step 4:
19 goes into 71 3 times with a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 63.0
Subtract 57 from 71 to get 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 19

Going ahead to step 5:
If we divide 145 by 19, we get 7 and a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 637.0
The remainder is 12 after subtracting 133 from 145.
Bring next digit (8) of the dividend behind the 12 and repeat the process: 128 / 19

Advancing to step 6:
19 can be fit into 128 6 times, resulting in a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 6376.0
If we subtract 114 from 128, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
19 can be fit into 140 7 times, resulting in a remainder of 7.
The next digit of our result is 7. 
Result so far: 6376.7
Deduct 133 from 140 and we're left 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.

Step 8:
19 goes into 70 3 times with a remainder of 13.
The next digit of our result is 3. 
Result so far: 6376.73
Subtract 57 from 70 to get 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 9:
19 can be fit into 130 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 6376.736
If we subtract 114 from 130, we 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.

Moving on to step 10:
The number 19 fits into 160 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 6376.7368
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.

On to step 11:
The number 19 fits into 80 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 6376.73684
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
The number 19 fits into 40 2 times, leaving a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 6376.736842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 13:
19 goes into 20 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 6376.7368421
Subtract 19 from 20 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 14:
10 divided by 19 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6376.7368421
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 6376.7368421, with a leftover of 1e-08.