137586 divided by 25 
We want to divide 137586 by 25.

On to step 1:
The number 25 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 25

On to step 2:
25 can be fit into 13 0 times, resulting in a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 25

Moving on to step 3:
25 goes into 137 5 times with a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 12 after subtracting 125 from 137.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 25

Going ahead to step 4:
If we divide 125 by 25, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 55.0
Deduct 125 from 125 and we're left with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 25

Let's proceed to step 5:
25 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 550.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 25

Let's proceed to step 6:
86 divided by 25 is 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 5503.0
Deduct 75 from 86 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
25 can be fit into 110 4 times, resulting in a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 5503.4
Deduct 100 from 110 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
The number 25 fits into 100 4 times, leaving a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 5503.44
Deduct 100 from 100 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.

Our division results in 5503.44 with a remaining 0.0.