442678 divided by 25 
We want to figure out the number of times 442678 can be divided by 25.

Let's proceed to step 1:
The number 25 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 25

Step 2:
If we divide 44 by 25, we get 1 and a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 25 from 44 to get 19.
Grab the next digit (2) from the dividend, add it to 19, then carry on: 192 / 25

Advancing to step 3:
25 can be fit into 192 7 times, resulting in a remainder of 17.
The next digit of our result is 7. 
Result so far: 17.0
Deduct 175 from 192 and we're left with 17.
Fetch the next digit (6) from the dividend, attach it to 17 and continue: 176 / 25

Going ahead to step 4:
When dividing 176 by 25, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 177.0
If we take 175 away from 176, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 25

Going ahead to step 5:
25 can be fit into 17 0 times, resulting in a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 1770.0
If we take 0 away from 17, we end up with 17.
Append the next digit (8) from the dividend to 17 and continue with: 178 / 25

On to step 6:
25 can be fit into 178 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 17707.0
Deduct 175 from 178 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
25 goes into 30 1 times with a remainder of 5.
The next digit of our result is 1. 
Result so far: 17707.1
Subtract 25 from 30 to 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.

Moving on to step 8:
25 can be fit into 50 2 times, resulting in a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 17707.12
The remainder is 0 after subtracting 50 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 17707.12
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 17707.12
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 17707.12 with a remaining 0.0.