125901 divided by 5 
We want to figure out the number of times 125901 can be divided by 5.

Step 1:
The number 5 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
If we subtract 0 from 1, we get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 5

Moving on to step 2:
When dividing 12 by 5, we get 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 10 from 12 and we're left with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 5

Step 3:
When dividing 25 by 5, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Subtracting 25 from 25 leaves us with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 5

Let's proceed to step 4:
If we divide 9 by 5, we get 1 and a remainder of 4.
The next digit of our result is 1. 
Result so far: 251.0
Subtract 5 from 9 to get 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 5

Advancing to step 5:
The number 5 fits into 40 8 times, leaving a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 2518.0
Deduct 40 from 40 and we're left with 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 5

On to step 6:
5 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 25180.0
Deduct 0 from 1 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
If we divide 10 by 5, we get 2 and a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 25180.2
Deduct 10 from 10 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.

Let's proceed to step 8:
The number 5 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 25180.2
Deduct 0 from 0 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.

Moving on to step 9:
When dividing 0 by 5, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 25180.2
Subtracting 0 from 0 leaves us 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.

The quotient of the division is 25180.2, and the remainder is 0.0.