We look at the division of 124141 by 19 
Our goal is to divide 124141 by 19.

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
If we subtract 0 from 1, we get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 19

Going ahead to step 2:
19 can be fit into 12 0 times, resulting in a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 19

Let's proceed to step 3:
The number 19 fits into 124 6 times, leaving a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 114 from 124 and we're left with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 19

Going ahead to step 4:
19 can be fit into 101 5 times, resulting in a remainder of 6.
The next digit of our result is 5. 
Result so far: 65.0
Deduct 95 from 101 and we're left with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 19

Step 5:
19 can be fit into 64 3 times, resulting in a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 653.0
Subtract 57 from 64 to get 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 19

Going ahead to step 6:
19 goes into 71 3 times with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 6533.0
The remainder is 14 after subtracting 57 from 71.
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 7:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 6533.7
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.

Let's proceed to step 8:
When dividing 70 by 19, we get 3 with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 6533.73
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 goes into 130 6 times with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 6533.736
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
If we divide 160 by 19, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 6533.7368
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 11:
When dividing 80 by 19, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 6533.73684
If we subtract 76 from 80, we 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.

Going ahead to step 12:
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: 6533.736842
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.

Moving on to step 13:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 6533.7368421
Subtracting 19 from 20 leaves us with 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:
19 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6533.7368421
The remainder is 10 after subtracting 0 from 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 result is 6533.7368421 with a remainder of 1e-08.