We're dividing 359374 by 31 
Let's see how many times 31 fits into 359374.

Moving on to step 1:
31 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 31

Advancing to step 2:
The number 31 fits into 35 1 times, leaving a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 4 after subtracting 31 from 35.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 31

Let's proceed to step 3:
31 can be fit into 49 1 times, resulting in a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtract 31 from 49 to get 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 31

Moving on to step 4:
31 can be fit into 183 5 times, resulting in a remainder of 28.
The next digit of our result is 5. 
Result so far: 115.0
Subtract 155 from 183 to get 28.
Append the next digit (7) from the dividend to 28 and continue with: 287 / 31

Step 5:
The number 31 fits into 287 9 times, leaving a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 1159.0
Subtracting 279 from 287 leaves us with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 31

Advancing to step 6:
If we divide 84 by 31, we get 2 and a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 11592.0
Deduct 62 from 84 and we're left 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.

Going ahead to step 7:
The number 31 fits into 220 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 11592.7
Subtract 217 from 220 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
31 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 11592.7
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
31 goes into 300 9 times with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 11592.709
If we take 279 away from 300, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 10:
When dividing 210 by 31, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 11592.7096
Deduct 186 from 210 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 11:
The number 31 fits into 240 7 times, leaving a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 11592.70967
Deduct 217 from 240 and we're left with 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 12:
31 can be fit into 230 7 times, resulting in a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 11592.709677
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.

The final outcome is 11592.709677, with a leftover of 1.3e-06.