203442 ÷ 31 
We want to figure out the number of times 203442 can be divided by 31.

On to step 1:
The number 31 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 31

Moving on to step 2:
31 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 20 after subtracting 0 from 20.
Take the next digit (3) from the dividend and append it to 20, then repeat: 203 / 31

Step 3:
When dividing 203 by 31, we get 6 with a remainder of 17.
The next digit of our result is 6. 
Result so far: 6.0
If we take 186 away from 203, we end up with 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 31

Step 4:
31 can be fit into 174 5 times, resulting in a remainder of 19.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
If we subtract 155 from 174, we get 19.
Grab the next digit (4) from the dividend, add it to 19, then carry on: 194 / 31

Going ahead to step 5:
The number 31 fits into 194 6 times, leaving a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 656.0
Subtracting 186 from 194 leaves us with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 31

Moving on to step 6:
82 divided by 31 is 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 6562.0
The remainder is 20 after subtracting 62 from 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
If we divide 200 by 31, we get 6 and a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 6562.6
If we subtract 186 from 200, we get 14.
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:
If we divide 140 by 31, we get 4 and a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 6562.64
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.

Moving on to step 9:
31 can be fit into 160 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 6562.645
Subtract 155 from 160 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
31 goes into 50 1 times with a remainder of 19.
The next digit of our result is 1. 
Result so far: 6562.6451
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.

Advancing to step 11:
If we divide 190 by 31, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 6562.64516
Deduct 186 from 190 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.

Going ahead to step 12:
When dividing 40 by 31, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 6562.645161
Subtracting 31 from 40 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
If we divide 90 by 31, we get 2 and a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 6562.6451612
The remainder is 28 after subtracting 62 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 14:
The number 31 fits into 280 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 6562.64516129
If we take 279 away from 280, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 6562.64516129 with a remaining 1e-09.