Let's divide 205838 by 31
We want to figure out the number of times 205838 can be divided by 31.

Moving on to step 1:
31 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 31

Step 2:
31 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 20, we get 20.
Fetch the next digit (5) from the dividend, attach it to 20 and continue: 205 / 31

Let's proceed to step 3:
The number 31 fits into 205 6 times, leaving a remainder of 19.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 186 from 205 to get 19.
Take the next digit (8) from the dividend and append it to 19, then repeat: 198 / 31

Advancing to step 4:
If we divide 198 by 31, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 66.0
Deduct 186 from 198 and we're left with 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 31

Let's proceed to step 5:
123 divided by 31 is 3 with a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 663.0
Subtracting 93 from 123 leaves us with 30.
Fetch the next digit (8) from the dividend, attach it to 30 and continue: 308 / 31

Let's proceed to step 6:
31 can be fit into 308 9 times, resulting in a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 6639.0
The remainder is 29 after subtracting 279 from 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 7:
290 divided by 31 is 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 6639.9
The remainder is 11 after subtracting 279 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
When dividing 110 by 31, we get 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 6639.93
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.

Moving on to step 9:
170 divided by 31 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 6639.935
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.

Advancing to step 10:
150 divided by 31 is 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 6639.9354
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.

Advancing to step 11:
260 divided by 31 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6639.93548
Subtract 248 from 260 to 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.

Let's proceed to step 12:
If we divide 120 by 31, we get 3 and a remainder of 27.
The next digit of our result is 3. 
Result so far: 6639.935483
The remainder is 27 after subtracting 93 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 13:
31 can be fit into 270 8 times, resulting in a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 6639.9354838
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.

Advancing to step 14:
The number 31 fits into 220 7 times, leaving a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 6639.93548387
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.

The quotient of the division is 6639.93548387, and the remainder is 3e-09.