369805 ÷ 31 
We're looking to find how many times 31 goes into 369805.

Advancing to step 1:
3 divided by 31 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 31

Step 2:
31 goes into 36 1 times with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 31 from 36 and we're left with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 31

Going ahead to step 3:
31 goes into 59 1 times with a remainder of 28.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 28 after subtracting 31 from 59.
Fetch the next digit (8) from the dividend, attach it to 28 and continue: 288 / 31

Step 4:
31 goes into 288 9 times with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 119.0
Subtract 279 from 288 to get 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 31

Advancing to step 5:
90 divided by 31 is 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 1192.0
The remainder is 28 after subtracting 62 from 90.
Include the next digit (5) from the dividend after 28, then repeat: 285 / 31

On to step 6:
31 can be fit into 285 9 times, resulting in a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 11929.0
If we subtract 279 from 285, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
If we divide 60 by 31, we get 1 and a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 11929.1
If we take 31 away from 60, we end up with 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:
If we divide 290 by 31, we get 9 and a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 11929.19
Deduct 279 from 290 and we're left 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.

Going ahead to step 9:
The number 31 fits into 110 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 11929.193
Deduct 93 from 110 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 10:
If we divide 170 by 31, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 11929.1935
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.

Going ahead to step 11:
If we divide 150 by 31, we get 4 and a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 11929.19354
Subtract 124 from 150 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 12:
The number 31 fits into 260 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 11929.193548
The remainder is 12 after subtracting 248 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
The number 31 fits into 120 3 times, leaving a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 11929.1935483
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.

Let's proceed to step 14:
270 divided by 31 is 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 11929.19354838
Subtracting 248 from 270 leaves us 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.

The final outcome is 11929.19354838, with a leftover of 2.2e-08.