We're dividing 705643 by 31 
Our goal is to divide 705643 by 31.

Let's proceed to step 1:
7 divided by 31 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 31

Going ahead to step 2:
If we divide 70 by 31, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 62 from 70 to get 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 31

Let's proceed to step 3:
When dividing 85 by 31, we get 2 with a remainder of 23.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
The remainder is 23 after subtracting 62 from 85.
Include the next digit (6) from the dividend after 23, then repeat: 236 / 31

Advancing to step 4:
The number 31 fits into 236 7 times, leaving a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 227.0
The remainder is 19 after subtracting 217 from 236.
Fetch the next digit (4) from the dividend, attach it to 19 and continue: 194 / 31

Going ahead to step 5:
194 divided by 31 is 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 2276.0
Deduct 186 from 194 and we're left with 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 31

Advancing to step 6:
If we divide 83 by 31, we get 2 and a remainder of 21.
The next digit of our result is 2. 
Result so far: 22762.0
Subtracting 62 from 83 leaves us 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.

Let's proceed to step 7:
The number 31 fits into 210 6 times, leaving a remainder of 24.
The next digit of our result is 6. 
Result so far: 22762.6
The remainder is 24 after subtracting 186 from 210.
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 8:
If we divide 240 by 31, we get 7 and a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 22762.67
The remainder is 23 after subtracting 217 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 9:
If we divide 230 by 31, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 22762.677
The remainder is 13 after subtracting 217 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 22762.677 with a remaining 0.0013.