We look at the division of 258101 by 1 
Our goal is to divide 258101 by 1.

Going ahead to step 1:
When dividing 2 by 1, we get 2 with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 2 from 2 leaves us with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 1

Advancing to step 2:
5 divided by 1 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
Subtract 5 from 5 to get 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 1

Advancing to step 3:
When dividing 8 by 1, we get 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 258.0
Deduct 8 from 8 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 1

Step 4:
1 can be fit into 1 1 times, resulting in a remainder of 0.
The next digit of our result is 1. 
Result so far: 2581.0
Subtract 1 from 1 to get 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 1

Step 5:
0 divided by 1 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 25810.0
Subtracting 0 from 0 leaves us with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 1

Let's proceed to step 6:
1 goes into 1 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 258101.0
If we take 1 away from 1, 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.

Going ahead to step 7:
If we divide 0 by 1, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 258101.0
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.

Going ahead to step 8:
1 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 258101.0
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.

After the division, we end up with 258101.0 and a remainder of 0.0.