We divide 341954 by 25
We want to figure out the number of times 341954 can be divided by 25.

Step 1:
If we divide 3 by 25, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 25

Going ahead to step 2:
When dividing 34 by 25, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 9 after subtracting 25 from 34.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 25

Moving on to step 3:
25 goes into 91 3 times with a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 13.0
The remainder is 16 after subtracting 75 from 91.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 25

Moving on to step 4:
If we divide 169 by 25, we get 6 and a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 136.0
Subtract 150 from 169 to get 19.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 25

Going ahead to step 5:
When dividing 195 by 25, we get 7 with a remainder of 20.
The next digit of our result is 7. 
Result so far: 1367.0
If we subtract 175 from 195, we get 20.
Bring next digit (4) of the dividend behind the 20 and repeat the process: 204 / 25

On to step 6:
The number 25 fits into 204 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 13678.0
If we subtract 200 from 204, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
25 goes into 40 1 times with a remainder of 15.
The next digit of our result is 1. 
Result so far: 13678.1
Subtracting 25 from 40 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
25 goes into 150 6 times with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 13678.16
Deduct 150 from 150 and we're left 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.

Going ahead to step 9:
25 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 13678.16
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.

Let's proceed to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 13678.16
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.

The quotient of the division is 13678.16, and the remainder is 0.0.