127225 divided by 19 
We want to figure out the number of times 127225 can be divided by 19.

On to step 1:
If we divide 1 by 19, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 19

Going ahead to step 2:
12 divided by 19 is 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 19

Going ahead to step 3:
The number 19 fits into 127 6 times, leaving a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 114 from 127 and we're left with 13.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 19

On to step 4:
132 divided by 19 is 6 with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
If we take 114 away from 132, we end up with 18.
Append the next digit (2) from the dividend to 18 and continue with: 182 / 19

Going ahead to step 5:
19 can be fit into 182 9 times, resulting in a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 669.0
If we subtract 171 from 182, we get 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 19

Let's proceed to step 6:
19 goes into 115 6 times with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 6696.0
Subtracting 114 from 115 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.

Step 7:
If we divide 10 by 19, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6696.0
If we take 0 away from 10, we end up 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.

Let's proceed to step 8:
19 goes into 100 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 6696.05
If we take 95 away from 100, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
19 can be fit into 50 2 times, resulting in a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 6696.052
Deduct 38 from 50 and we're left 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.

Step 10:
If we divide 120 by 19, we get 6 and a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 6696.0526
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
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: 6696.05263
If we take 57 away from 60, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 12:
When dividing 30 by 19, we get 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 6696.052631
Subtracting 19 from 30 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 13:
The number 19 fits into 110 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 6696.0526315
If we take 95 away from 110, we end up 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.

Going ahead to step 14:
19 goes into 150 7 times with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 6696.05263157
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final result is 6696.05263157 with a remainder of 1.7e-08.