10259275 ÷ 231 
We're looking to find how many times 231 goes into 10259275.

Moving on to step 1:
If we divide 1 by 231, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 231

Advancing to step 2:
231 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 231

Step 3:
231 goes into 102 0 times with a remainder of 102.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 102 and we're left with 102.
Fetch the next digit (5) from the dividend, attach it to 102 and continue: 1025 / 231

On to step 4:
If we divide 1025 by 231, we get 4 and a remainder of 101.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 924 from 1025 and we're left with 101.
Append the next digit (9) from the dividend to 101 and continue with: 1019 / 231

Advancing to step 5:
231 can be fit into 1019 4 times, resulting in a remainder of 95.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
If we take 924 away from 1019, we end up with 95.
Fetch the next digit (2) from the dividend, attach it to 95 and continue: 952 / 231

Advancing to step 6:
When dividing 952 by 231, we get 4 with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 444.0
If we subtract 924 from 952, we get 28.
Include the next digit (7) from the dividend after 28, then repeat: 287 / 231

Let's proceed to step 7:
If we divide 287 by 231, we get 1 and a remainder of 56.
Use 1 as the next digit of our solution. 
Result so far: 4441.0
If we subtract 231 from 287, we get 56.
Include the next digit (5) from the dividend after 56, then repeat: 565 / 231

Moving on to step 8:
When dividing 565 by 231, we get 2 with a remainder of 103.
Use 2 as the next digit of our solution. 
Result so far: 44412.0
Deduct 462 from 565 and we're left with 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Let's proceed to step 9:
When dividing 1030 by 231, we get 4 with a remainder of 106.
Use 4 as the next digit of our solution. 
Result so far: 44412.4
If we take 924 away from 1030, we end up with 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Step 10:
231 goes into 1060 4 times with a remainder of 136.
Record the quotient 4 as the next digit in the result. 
Result so far: 44412.44
Deduct 924 from 1060 and we're left with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

The quotient of the division is 44412.44, and the remainder is 0.136.