136571 ÷ 19 
We're looking to find how many times 19 goes into 136571.

Going ahead to step 1:
1 divided by 19 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 19

On to step 2:
19 can be fit into 13 0 times, resulting in a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Take the next digit (6) from the dividend and append it to 13, then repeat: 136 / 19

Going ahead to step 3:
When dividing 136 by 19, we get 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 133 from 136, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 19

Step 4:
19 goes into 35 1 times with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 71.0
The remainder is 16 after subtracting 19 from 35.
Grab the next digit (7) from the dividend, add it to 16, then carry on: 167 / 19

Advancing to step 5:
19 goes into 167 8 times with a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 718.0
Subtracting 152 from 167 leaves us with 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 19

Going ahead to step 6:
If we divide 151 by 19, we get 7 and a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 7187.0
If we take 133 away from 151, 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.

Let's proceed to step 7:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 7187.9
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 8:
The number 19 fits into 90 4 times, leaving a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 7187.94
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.

Let's proceed to step 9:
If we divide 140 by 19, we get 7 and a remainder of 7.
The next digit of our result is 7. 
Result so far: 7187.947
The remainder is 7 after subtracting 133 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 10:
19 goes into 70 3 times with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 7187.9473
Subtracting 57 from 70 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 11:
130 divided by 19 is 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 7187.94736
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.

Moving on to step 12:
If we divide 160 by 19, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 7187.947368
If we subtract 152 from 160, we 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.

Step 13:
If we divide 80 by 19, we get 4 and a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 7187.9473684
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.

Advancing to step 14:
If we divide 40 by 19, we get 2 and a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 7187.94736842
If we subtract 38 from 40, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 7187.94736842 and a remainder of 2e-09.