Let's divide 442533 by 31
Our goal is to divide 442533 by 31.

On to step 1:
31 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 31

Advancing to step 2:
When dividing 44 by 31, we get 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 31 from 44, we get 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 31

Moving on to step 3:
The number 31 fits into 132 4 times, leaving a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Deduct 124 from 132 and we're left with 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 31

Let's proceed to step 4:
When dividing 85 by 31, we get 2 with a remainder of 23.
Record the quotient 2 as the next digit in the result. 
Result so far: 142.0
Subtracting 62 from 85 leaves us with 23.
Fetch the next digit (3) from the dividend, attach it to 23 and continue: 233 / 31

Let's proceed to step 5:
If we divide 233 by 31, we get 7 and a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 1427.0
Deduct 217 from 233 and we're left with 16.
Append the next digit (3) from the dividend to 16 and continue with: 163 / 31

Step 6:
If we divide 163 by 31, we get 5 and a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 14275.0
The remainder is 8 after subtracting 155 from 163.
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 7:
31 can be fit into 80 2 times, resulting in a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 14275.2
If we take 62 away from 80, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
31 can be fit into 180 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 14275.25
The remainder is 25 after subtracting 155 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
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: 14275.258
Subtracting 248 from 250 leaves us 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.

Moving on to step 10:
When dividing 20 by 31, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 14275.258
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
31 goes into 200 6 times with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 14275.25806
If we take 186 away from 200, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 12:
31 can be fit into 140 4 times, resulting in a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 14275.258064
Subtracting 124 from 140 leaves us 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.

Step 13:
When dividing 160 by 31, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 14275.2580645
The remainder is 5 after subtracting 155 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 14:
31 goes into 50 1 times with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 14275.25806451
Deduct 31 from 50 and we're left 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.

The final result is 14275.25806451 with a remainder of 1.9e-08.