261574 ÷ 16 
We want to figure out the number of times 261574 can be divided by 16.

Moving on to step 1:
16 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 16

Step 2:
16 goes into 26 1 times with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 16 away from 26, we end up with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 16

Going ahead to step 3:
101 divided by 16 is 6 with a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtracting 96 from 101 leaves us with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 16

Going ahead to step 4:
16 goes into 55 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 163.0
If we subtract 48 from 55, we get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 16

Let's proceed to step 5:
The number 16 fits into 77 4 times, leaving a remainder of 13.
The number 4 becomes the next digit in our result. 
Result so far: 1634.0
The remainder is 13 after subtracting 64 from 77.
Bring next digit (4) of the dividend behind the 13 and repeat the process: 134 / 16

Let's proceed to step 6:
16 can be fit into 134 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 16348.0
If we subtract 128 from 134, 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.

Step 7:
If we divide 60 by 16, we get 3 and a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 16348.3
If we subtract 48 from 60, we get 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:
120 divided by 16 is 7 with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 16348.37
If we take 112 away from 120, we end up 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.

On to step 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 16348.375
Subtracting 80 from 80 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 16348.375
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 16348.375
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 16348.375, and the remainder is 0.0.