Let's divide 103422 by 31
We're looking to find how many times 31 goes into 103422.

Going ahead to step 1:
If we divide 1 by 31, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 31

Let's proceed to step 2:
31 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 31

Moving on to step 3:
If we divide 103 by 31, we get 3 and a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 93 from 103, we get 10.
Grab the next digit (4) from the dividend, add it to 10, then carry on: 104 / 31

Let's proceed to step 4:
31 can be fit into 104 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 33.0
Deduct 93 from 104 and we're left with 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 31

On to step 5:
112 divided by 31 is 3 with a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 333.0
If we take 93 away from 112, we end up with 19.
Take the next digit (2) from the dividend and append it to 19, then repeat: 192 / 31

Step 6:
31 goes into 192 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 3336.0
Subtracting 186 from 192 leaves us 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 7:
31 goes into 60 1 times with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 3336.1
Subtract 31 from 60 to 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.

On to step 8:
290 divided by 31 is 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 3336.19
If we take 279 away from 290, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
If we divide 110 by 31, we get 3 and a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 3336.193
Subtract 93 from 110 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 10:
31 can be fit into 170 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 3336.1935
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.

Moving on to step 11:
When dividing 150 by 31, we get 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 3336.19354
If we take 124 away from 150, we end up 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.

Let's proceed to step 12:
31 can be fit into 260 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 3336.193548
If we take 248 away from 260, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
120 divided by 31 is 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 3336.1935483
Subtracting 93 from 120 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 14:
31 can be fit into 270 8 times, resulting in a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 3336.19354838
If we take 248 away from 270, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 3336.19354838 with a remaining 2.2e-08.