We're dividing 623237 by 906 
We want to divide 623237 by 906.

On to step 1:
906 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
Deduct 0 from 6 and we're left with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 906

Let's proceed to step 2:
906 goes into 62 0 times with a remainder of 62.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 62 leaves us with 62.
Append the next digit (3) from the dividend to 62 and continue with: 623 / 906

Moving on to step 3:
906 goes into 623 0 times with a remainder of 623.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 623 to get 623.
Take the next digit (2) from the dividend and append it to 623, then repeat: 6232 / 906

On to step 4:
The number 906 fits into 6232 6 times, leaving a remainder of 796.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 796 after subtracting 5436 from 6232.
Grab the next digit (3) from the dividend, add it to 796, then carry on: 7963 / 906

On to step 5:
When dividing 7963 by 906, we get 8 with a remainder of 715.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we take 7248 away from 7963, we end up with 715.
Bring next digit (7) of the dividend behind the 715 and repeat the process: 7157 / 906

Advancing to step 6:
7157 divided by 906 is 7 with a remainder of 815.
Write down 7 as next digit of the result. 
Result so far: 687.0
Subtract 6342 from 7157 to get 815.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8150, and continue the process.

Step 7:
8150 divided by 906 is 8 with a remainder of 902.
Use 8 as the next digit of our solution. 
Result so far: 687.8
Subtract 7248 from 8150 to get 902.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9020, and continue the process.

Advancing to step 8:
9020 divided by 906 is 9 with a remainder of 866.
The next digit of our result is 9. 
Result so far: 687.89
If we take 8154 away from 9020, we end up with 866.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8660, and continue the process.

On to step 9:
The number 906 fits into 8660 9 times, leaving a remainder of 506.
The number 9 becomes the next digit in our result. 
Result so far: 687.899
Subtract 8154 from 8660 to get 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

The quotient of the division is 687.899, and the remainder is 0.0506.