657814 ÷ 31 
We want to figure out the number of times 657814 can be divided by 31.

On to step 1:
31 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 31

Step 2:
31 goes into 65 2 times with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 62 away from 65, we end up with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 31

Let's proceed to step 3:
When dividing 37 by 31, we get 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Subtract 31 from 37 to get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 31

Moving on to step 4:
31 goes into 68 2 times with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 212.0
Deduct 62 from 68 and we're left with 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 31

On to step 5:
31 can be fit into 61 1 times, resulting in a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 2121.0
Deduct 31 from 61 and we're left with 30.
Bring next digit (4) of the dividend behind the 30 and repeat the process: 304 / 31

Moving on to step 6:
31 can be fit into 304 9 times, resulting in a remainder of 25.
The next digit of our result is 9. 
Result so far: 21219.0
The remainder is 25 after subtracting 279 from 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
31 goes into 250 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 21219.8
If we take 248 away from 250, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
31 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 21219.8
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
200 divided by 31 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 21219.806
Subtracting 186 from 200 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
31 can be fit into 140 4 times, resulting in a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 21219.8064
Deduct 124 from 140 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
When dividing 160 by 31, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 21219.80645
Subtract 155 from 160 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 12:
31 can be fit into 50 1 times, resulting in a remainder of 19.
The next digit of our result is 1. 
Result so far: 21219.806451
Subtract 31 from 50 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 13:
31 can be fit into 190 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 21219.8064516
If we take 186 away from 190, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 14:
The number 31 fits into 40 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 21219.80645161
Deduct 31 from 40 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 21219.80645161 with a remainder of 9e-09.