We look at the division of 678437 by 31 
We're looking to find how many times 31 goes into 678437.

Step 1:
31 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 31

Moving on to step 2:
67 divided by 31 is 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 62 from 67, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 31

Let's proceed to step 3:
31 can be fit into 58 1 times, resulting in a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Deduct 31 from 58 and we're left with 27.
Include the next digit (4) from the dividend after 27, then repeat: 274 / 31

Let's proceed to step 4:
The number 31 fits into 274 8 times, leaving a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 218.0
If we take 248 away from 274, we end up with 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 31

Moving on to step 5:
When dividing 263 by 31, we get 8 with a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 2188.0
Subtract 248 from 263 to get 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 31

Let's proceed to step 6:
31 can be fit into 157 5 times, resulting in a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 21885.0
Subtracting 155 from 157 leaves us 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.

Going ahead to step 7:
If we divide 20 by 31, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 21885.0
If we take 0 away from 20, we end up 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.

Moving on to step 8:
31 goes into 200 6 times with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 21885.06
Subtract 186 from 200 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 9:
140 divided by 31 is 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 21885.064
If we take 124 away from 140, we end up 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.

Step 10:
If we divide 160 by 31, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 21885.0645
If we subtract 155 from 160, we 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.

Advancing to step 11:
The number 31 fits into 50 1 times, leaving a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 21885.06451
Subtracting 31 from 50 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 12:
31 goes into 190 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 21885.064516
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.

On to step 13:
40 divided by 31 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 21885.0645161
Subtract 31 from 40 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 14:
The number 31 fits into 90 2 times, leaving a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 21885.06451612
Subtract 62 from 90 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

After the division, we end up with 21885.06451612 and a remainder of 2.8e-08.