361342 divided by 31 
Our goal is to divide 361342 by 31.

Advancing to step 1:
31 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 31

Let's proceed to step 2:
31 goes into 36 1 times with a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 31 from 36 to get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 31

On to step 3:
If we divide 51 by 31, we get 1 and a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Deduct 31 from 51 and we're left with 20.
Fetch the next digit (3) from the dividend, attach it to 20 and continue: 203 / 31

Let's proceed to step 4:
203 divided by 31 is 6 with a remainder of 17.
Record the quotient 6 as the next digit in the result. 
Result so far: 116.0
Deduct 186 from 203 and we're left with 17.
Include the next digit (4) from the dividend after 17, then repeat: 174 / 31

Step 5:
The number 31 fits into 174 5 times, leaving a remainder of 19.
Record the quotient 5 as the next digit in the result. 
Result so far: 1165.0
Subtracting 155 from 174 leaves us with 19.
Bring next digit (2) of the dividend behind the 19 and repeat the process: 192 / 31

Let's proceed to step 6:
If we divide 192 by 31, we get 6 and a remainder of 6.
The next digit of our result is 6. 
Result so far: 11656.0
If we take 186 away from 192, 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.

On to step 7:
31 goes into 60 1 times with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 11656.1
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:
The number 31 fits into 290 9 times, leaving a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 11656.19
Subtract 279 from 290 to 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.

Step 9:
The number 31 fits into 110 3 times, leaving a remainder of 17.
The next digit of our result is 3. 
Result so far: 11656.193
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.

Advancing to step 10:
31 goes into 170 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 11656.1935
Deduct 155 from 170 and we're left 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:
31 can be fit into 150 4 times, resulting in a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 11656.19354
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.

Step 12:
When dividing 260 by 31, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 11656.193548
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.

Moving on to step 13:
If we divide 120 by 31, we get 3 and a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 11656.1935483
Deduct 93 from 120 and we're left 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.

On to step 14:
31 goes into 270 8 times with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 11656.19354838
If we subtract 248 from 270, we get 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 11656.19354838 with a remaining 2.2e-08.