16525 ÷ 31 
We want to figure out the number of times 16525 can be divided by 31.

Advancing to step 1:
31 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 31

Step 2:
When dividing 16 by 31, we get 0 with a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 16 after subtracting 0 from 16.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 31

On to step 3:
If we divide 165 by 31, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 155 from 165 and we're left with 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 31

Moving on to step 4:
31 can be fit into 102 3 times, resulting in a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 53.0
The remainder is 9 after subtracting 93 from 102.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 31

On to step 5:
If we divide 95 by 31, we get 3 and a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 533.0
The remainder is 2 after subtracting 93 from 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 6:
When dividing 20 by 31, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 533.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
If we divide 200 by 31, we get 6 and a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 533.06
The remainder is 14 after subtracting 186 from 200.
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 8:
140 divided by 31 is 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 533.064
Deduct 124 from 140 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
31 goes into 160 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 533.0645
Deduct 155 from 160 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
The number 31 fits into 50 1 times, leaving a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 533.06451
Subtracting 31 from 50 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 11:
The number 31 fits into 190 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 533.064516
Subtract 186 from 190 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.

Step 12:
31 can be fit into 40 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 533.0645161
The remainder is 9 after subtracting 31 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 13:
If we divide 90 by 31, we get 2 and a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 533.06451612
Deduct 62 from 90 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final outcome is 533.06451612, with a leftover of 2.8e-08.