185319 ÷ 31 
We want to figure out the number of times 185319 can be divided by 31.

Going ahead to step 1:
31 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 31

Moving on to step 2:
The number 31 fits into 18 0 times, leaving a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 18 to get 18.
Grab the next digit (5) from the dividend, add it to 18, then carry on: 185 / 31

Going ahead to step 3:
31 goes into 185 5 times with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 155 from 185, we get 30.
Include the next digit (3) from the dividend after 30, then repeat: 303 / 31

Step 4:
31 can be fit into 303 9 times, resulting in a remainder of 24.
Put 9 as the next digit of the answer. 
Result so far: 59.0
Subtract 279 from 303 to get 24.
Include the next digit (1) from the dividend after 24, then repeat: 241 / 31

Step 5:
31 goes into 241 7 times with a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 597.0
The remainder is 24 after subtracting 217 from 241.
Bring next digit (9) of the dividend behind the 24 and repeat the process: 249 / 31

Going ahead to step 6:
249 divided by 31 is 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 5978.0
If we subtract 248 from 249, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
10 divided by 31 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5978.0
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.

On to step 8:
The number 31 fits into 100 3 times, leaving a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 5978.03
If we take 93 away from 100, we end up 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.

Step 9:
When dividing 70 by 31, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 5978.032
Subtract 62 from 70 to 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.

Moving on to step 10:
When dividing 80 by 31, we get 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 5978.0322
If we subtract 62 from 80, 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.

After the division, we end up with 5978.0322 and a remainder of 0.00018.