We divide 121738 by 19
Our goal is to divide 121738 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
If we subtract 0 from 1, we get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 19

On to step 2:
If we divide 12 by 19, we get 0 and a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 19

Moving on to step 3:
When dividing 121 by 19, we get 6 with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 114 from 121 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 19

On to step 4:
19 can be fit into 77 4 times, resulting in a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
If we take 76 away from 77, we end up with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 19

Let's proceed to step 5:
19 can be fit into 13 0 times, resulting in a remainder of 13.
The next digit of our result is 0. 
Result so far: 640.0
Subtract 0 from 13 to get 13.
Bring next digit (8) of the dividend behind the 13 and repeat the process: 138 / 19

On to step 6:
The number 19 fits into 138 7 times, leaving a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 6407.0
The remainder is 5 after subtracting 133 from 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
19 goes into 50 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 6407.2
Subtracting 38 from 50 leaves us 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 8:
19 goes into 120 6 times with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 6407.26
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.

Advancing to step 9:
When dividing 60 by 19, we get 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 6407.263
Subtract 57 from 60 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 10:
30 divided by 19 is 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 6407.2631
If we subtract 19 from 30, we 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 11:
110 divided by 19 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 6407.26315
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.

Advancing to step 12:
19 goes into 150 7 times with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 6407.263157
If we take 133 away from 150, we end up 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.

Let's proceed to step 13:
If we divide 170 by 19, we get 8 and a remainder of 18.
The next digit of our result is 8. 
Result so far: 6407.2631578
If we subtract 152 from 170, we 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.

Going ahead to step 14:
If we divide 180 by 19, we get 9 and a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 6407.26315789
If we subtract 171 from 180, we 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.

The final result is 6407.26315789 with a remainder of 9e-09.