We look at the division of 5023425 by 678 
Let's see how many times 678 fits into 5023425.

Step 1:
If we divide 5 by 678, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 678

On to step 2:
The number 678 fits into 50 0 times, leaving a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Take the next digit (2) from the dividend and append it to 50, then repeat: 502 / 678

Going ahead to step 3:
502 divided by 678 is 0 with a remainder of 502.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 502 and we're left with 502.
Include the next digit (3) from the dividend after 502, then repeat: 5023 / 678

On to step 4:
The number 678 fits into 5023 7 times, leaving a remainder of 277.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 277 after subtracting 4746 from 5023.
Append the next digit (4) from the dividend to 277 and continue with: 2774 / 678

Advancing to step 5:
The number 678 fits into 2774 4 times, leaving a remainder of 62.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
Deduct 2712 from 2774 and we're left with 62.
Grab the next digit (2) from the dividend, add it to 62, then carry on: 622 / 678

On to step 6:
678 goes into 622 0 times with a remainder of 622.
Record the quotient 0 as the next digit in the result. 
Result so far: 740.0
The remainder is 622 after subtracting 0 from 622.
Grab the next digit (5) from the dividend, add it to 622, then carry on: 6225 / 678

Let's proceed to step 7:
678 can be fit into 6225 9 times, resulting in a remainder of 123.
Use 9 as the next digit of our solution. 
Result so far: 7409.0
Subtract 6102 from 6225 to get 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

Going ahead to step 8:
678 can be fit into 1230 1 times, resulting in a remainder of 552.
The number 1 becomes the next digit in our result. 
Result so far: 7409.1
Subtracting 678 from 1230 leaves us with 552.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5520, and continue the process.

On to step 9:
When dividing 5520 by 678, we get 8 with a remainder of 96.
The number 8 becomes the next digit in our result. 
Result so far: 7409.18
If we take 5424 away from 5520, we end up with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

On to step 10:
If we divide 960 by 678, we get 1 and a remainder of 282.
The next digit of our result is 1. 
Result so far: 7409.181
The remainder is 282 after subtracting 678 from 960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

Let's proceed to step 11:
2820 divided by 678 is 4 with a remainder of 108.
Record the quotient 4 as the next digit in the result. 
Result so far: 7409.1814
Deduct 2712 from 2820 and we're left with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Advancing to step 12:
678 can be fit into 1080 1 times, resulting in a remainder of 402.
Use 1 as the next digit of our solution. 
Result so far: 7409.18141
Deduct 678 from 1080 and we're left with 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Advancing to step 13:
When dividing 4020 by 678, we get 5 with a remainder of 630.
Put 5 as the next digit of the answer. 
Result so far: 7409.181415
Subtracting 3390 from 4020 leaves us with 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6300, and continue the process.

Let's proceed to step 14:
The number 678 fits into 6300 9 times, leaving a remainder of 198.
Put 9 as the next digit of the answer. 
Result so far: 7409.1814159
Deduct 6102 from 6300 and we're left with 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

Advancing to step 15:
678 can be fit into 1980 2 times, resulting in a remainder of 624.
Use 2 as the next digit of our solution. 
Result so far: 7409.18141592
The remainder is 624 after subtracting 1356 from 1980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6240, and continue the process.

The final outcome is 7409.18141592, with a leftover of 6.24e-07.