10531798 ÷ 259 
We're looking to find how many times 259 goes into 10531798.

Advancing to step 1:
259 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 259

Moving on to step 2:
If we divide 10 by 259, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 259

Step 3:
105 divided by 259 is 0 with a remainder of 105.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 105, we end up with 105.
Bring next digit (3) of the dividend behind the 105 and repeat the process: 1053 / 259

Moving on to step 4:
1053 divided by 259 is 4 with a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 1036 away from 1053, we end up with 17.
Take the next digit (1) from the dividend and append it to 17, then repeat: 171 / 259

On to step 5:
259 goes into 171 0 times with a remainder of 171.
The number 0 becomes the next digit in our result. 
Result so far: 40.0
Subtract 0 from 171 to get 171.
Append the next digit (7) from the dividend to 171 and continue with: 1717 / 259

Let's proceed to step 6:
259 goes into 1717 6 times with a remainder of 163.
The number 6 becomes the next digit in our result. 
Result so far: 406.0
If we subtract 1554 from 1717, we get 163.
Bring next digit (9) of the dividend behind the 163 and repeat the process: 1639 / 259

Going ahead to step 7:
259 goes into 1639 6 times with a remainder of 85.
Use 6 as the next digit of our solution. 
Result so far: 4066.0
Subtracting 1554 from 1639 leaves us with 85.
Fetch the next digit (8) from the dividend, attach it to 85 and continue: 858 / 259

Going ahead to step 8:
259 goes into 858 3 times with a remainder of 81.
Record the quotient 3 as the next digit in the result. 
Result so far: 40663.0
Subtract 777 from 858 to get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Let's proceed to step 9:
259 can be fit into 810 3 times, resulting in a remainder of 33.
The number 3 becomes the next digit in our result. 
Result so far: 40663.3
Subtracting 777 from 810 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 10:
The number 259 fits into 330 1 times, leaving a remainder of 71.
The number 1 becomes the next digit in our result. 
Result so far: 40663.31
Deduct 259 from 330 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 11:
If we divide 710 by 259, we get 2 and a remainder of 192.
Put 2 as the next digit of the answer. 
Result so far: 40663.312
Deduct 518 from 710 and we're left with 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Let's proceed to step 12:
259 can be fit into 1920 7 times, resulting in a remainder of 107.
Use 7 as the next digit of our solution. 
Result so far: 40663.3127
Subtracting 1813 from 1920 leaves us with 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

Let's proceed to step 13:
259 goes into 1070 4 times with a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 40663.31274
If we take 1036 away from 1070, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 14:
259 goes into 340 1 times with a remainder of 81.
The next digit of our result is 1. 
Result so far: 40663.312741
The remainder is 81 after subtracting 259 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Advancing to step 15:
810 divided by 259 is 3 with a remainder of 33.
Put 3 as the next digit of the answer. 
Result so far: 40663.3127413
Subtracting 777 from 810 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 16:
259 goes into 330 1 times with a remainder of 71.
The next digit of our result is 1. 
Result so far: 40663.31274131
If we subtract 259 from 330, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

In conclusion, the division gives 40663.31274131 with a balance of 7.1e-08.