We're dividing 16526 by 19 
Our goal is to divide 16526 by 19.

Advancing to step 1:
19 goes into 1 0 times with 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.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 19

Moving on to step 2:
16 divided by 19 is 0 with a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 16 and we're left with 16.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 19

Moving on to step 3:
165 divided by 19 is 8 with a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 152 from 165 and we're left with 13.
Include the next digit (2) from the dividend after 13, then repeat: 132 / 19

Step 4:
When dividing 132 by 19, we get 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 86.0
The remainder is 18 after subtracting 114 from 132.
Include the next digit (6) from the dividend after 18, then repeat: 186 / 19

Let's proceed to step 5:
186 divided by 19 is 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 869.0
Subtracting 171 from 186 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.

Step 6:
If we divide 150 by 19, we get 7 and a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 869.7
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.

Step 7:
If we divide 170 by 19, we get 8 and a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 869.78
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.

On to step 8:
180 divided by 19 is 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 869.789
Deduct 171 from 180 and we're left 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.

Going ahead to step 9:
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: 869.7894
Subtracting 76 from 90 leaves us 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.

Moving on to step 10:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 869.78947
Subtracting 133 from 140 leaves us 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.

On to step 11:
19 can be fit into 70 3 times, resulting in a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 869.789473
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 12:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 869.7894736
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.

Step 13:
The number 19 fits into 160 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 869.78947368
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.

The quotient of the division is 869.78947368, and the remainder is 8e-09.