532603 ÷ 31 
We're looking to find how many times 31 goes into 532603.

Advancing to step 1:
5 divided by 31 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 31

Let's proceed to step 2:
53 divided by 31 is 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 22 after subtracting 31 from 53.
Grab the next digit (2) from the dividend, add it to 22, then carry on: 222 / 31

Advancing to step 3:
The number 31 fits into 222 7 times, leaving a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 17.0
The remainder is 5 after subtracting 217 from 222.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 31

Step 4:
31 can be fit into 56 1 times, resulting in a remainder of 25.
The next digit of our result is 1. 
Result so far: 171.0
If we subtract 31 from 56, we get 25.
Append the next digit (0) from the dividend to 25 and continue with: 250 / 31

Going ahead to step 5:
The number 31 fits into 250 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 1718.0
Subtract 248 from 250 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 31

Step 6:
31 goes into 23 0 times with a remainder of 23.
The number 0 becomes the next digit in our result. 
Result so far: 17180.0
Subtract 0 from 23 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
The number 31 fits into 230 7 times, leaving a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 17180.7
Subtract 217 from 230 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.

Going ahead to step 8:
If we divide 130 by 31, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 17180.74
If we take 124 away from 130, we end up with 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 9:
If we divide 60 by 31, we get 1 and a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 17180.741
If we subtract 31 from 60, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 10:
31 can be fit into 290 9 times, resulting in a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 17180.7419
If we subtract 279 from 290, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
The number 31 fits into 110 3 times, leaving a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 17180.74193
Subtracting 93 from 110 leaves us 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.

Going ahead to step 12:
31 can be fit into 170 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 17180.741935
Subtracting 155 from 170 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.

On to step 13:
31 can be fit into 150 4 times, resulting in a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 17180.7419354
Deduct 124 from 150 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 14:
When dividing 260 by 31, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 17180.74193548
If we subtract 248 from 260, 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.

The final result is 17180.74193548 with a remainder of 1.2e-08.