We divide 185874 by 16
Our goal is to divide 185874 by 16.

Advancing to step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 16

Let's proceed to step 2:
The number 16 fits into 18 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 16 from 18 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 16

Step 3:
25 divided by 16 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 16 away from 25, we end up with 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 16

Moving on to step 4:
The number 16 fits into 98 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 116.0
Subtract 96 from 98 to get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 16

Moving on to step 5:
27 divided by 16 is 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1161.0
Subtracting 16 from 27 leaves us with 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 16

Advancing to step 6:
16 can be fit into 114 7 times, resulting in a remainder of 2.
The next digit of our result is 7. 
Result so far: 11617.0
Deduct 112 from 114 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.

Advancing to step 7:
16 goes into 20 1 times with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 11617.1
Deduct 16 from 20 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
40 divided by 16 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 11617.12
Subtracting 32 from 40 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 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: 11617.125
Deduct 80 from 80 and we're left 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.

Moving on to step 10:
0 divided by 16 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 11617.125
The remainder is 0 after subtracting 0 from 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.
Write down 0 as next digit of the result. 
Result so far: 11617.125
If we subtract 0 from 0, we 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 final result is 11617.125 with a remainder of 0.0.