Let's divide 625874 by 90
Our goal is to divide 625874 by 90.

Advancing to step 1:
The number 90 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 90

Going ahead to step 2:
90 can be fit into 62 0 times, resulting in a remainder of 62.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 62 to get 62.
Append the next digit (5) from the dividend to 62 and continue with: 625 / 90

Going ahead to step 3:
90 can be fit into 625 6 times, resulting in a remainder of 85.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 540 from 625 to get 85.
Include the next digit (8) from the dividend after 85, then repeat: 858 / 90

On to step 4:
If we divide 858 by 90, we get 9 and a remainder of 48.
Put 9 as the next digit of the answer. 
Result so far: 69.0
Subtract 810 from 858 to get 48.
Append the next digit (7) from the dividend to 48 and continue with: 487 / 90

Let's proceed to step 5:
When dividing 487 by 90, we get 5 with a remainder of 37.
Put 5 as the next digit of the answer. 
Result so far: 695.0
The remainder is 37 after subtracting 450 from 487.
Fetch the next digit (4) from the dividend, attach it to 37 and continue: 374 / 90

On to step 6:
When dividing 374 by 90, we get 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 6954.0
If we subtract 360 from 374, we 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.

Going ahead to step 7:
140 divided by 90 is 1 with a remainder of 50.
Put 1 as the next digit of the answer. 
Result so far: 6954.1
Subtract 90 from 140 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
90 can be fit into 500 5 times, resulting in a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 6954.15
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
The number 90 fits into 500 5 times, leaving a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 6954.155
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 6954.155 with a remainder of 0.005.