We look at the division of 25194 by 423 
We want to divide 25194 by 423.

On to step 1:
If we divide 2 by 423, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 423

Advancing to step 2:
423 can be fit into 25 0 times, resulting in a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Include the next digit (1) from the dividend after 25, then repeat: 251 / 423

Moving on to step 3:
The number 423 fits into 251 0 times, leaving a remainder of 251.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 251 and we're left with 251.
Include the next digit (9) from the dividend after 251, then repeat: 2519 / 423

Moving on to step 4:
423 can be fit into 2519 5 times, resulting in a remainder of 404.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 404 after subtracting 2115 from 2519.
Grab the next digit (4) from the dividend, add it to 404, then carry on: 4044 / 423

Let's proceed to step 5:
If we divide 4044 by 423, we get 9 and a remainder of 237.
The next digit of our result is 9. 
Result so far: 59.0
If we subtract 3807 from 4044, we get 237.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2370, and continue the process.

Step 6:
2370 divided by 423 is 5 with a remainder of 255.
Use 5 as the next digit of our solution. 
Result so far: 59.5
If we subtract 2115 from 2370, we get 255.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2550, and continue the process.

Advancing to step 7:
423 goes into 2550 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 59.56
If we subtract 2538 from 2550, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
When dividing 120 by 423, we get 0 with a remainder of 120.
Use 0 as the next digit of our solution. 
Result so far: 59.56
Deduct 0 from 120 and we're left with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

On to step 9:
423 goes into 1200 2 times with a remainder of 354.
Record the quotient 2 as the next digit in the result. 
Result so far: 59.5602
The remainder is 354 after subtracting 846 from 1200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3540, and continue the process.

Moving on to step 10:
423 can be fit into 3540 8 times, resulting in a remainder of 156.
The number 8 becomes the next digit in our result. 
Result so far: 59.56028
Subtract 3384 from 3540 to get 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Advancing to step 11:
423 goes into 1560 3 times with a remainder of 291.
Record the quotient 3 as the next digit in the result. 
Result so far: 59.560283
Subtract 1269 from 1560 to get 291.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2910, and continue the process.

Step 12:
423 goes into 2910 6 times with a remainder of 372.
Use 6 as the next digit of our solution. 
Result so far: 59.5602836
If we take 2538 away from 2910, we end up with 372.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

Moving on to step 13:
3720 divided by 423 is 8 with a remainder of 336.
Use 8 as the next digit of our solution. 
Result so far: 59.56028368
If we subtract 3384 from 3720, we get 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

The quotient of the division is 59.56028368, and the remainder is 3.36e-07.