We look at the division of 10596617 by 427 
We're looking to find how many times 427 goes into 10596617.

Step 1:
427 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 427

Advancing to step 2:
The number 427 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 427

Advancing to step 3:
427 goes into 105 0 times with a remainder of 105.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 105 leaves us with 105.
Take the next digit (9) from the dividend and append it to 105, then repeat: 1059 / 427

Going ahead to step 4:
The number 427 fits into 1059 2 times, leaving a remainder of 205.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 205 after subtracting 854 from 1059.
Include the next digit (6) from the dividend after 205, then repeat: 2056 / 427

Advancing to step 5:
When dividing 2056 by 427, we get 4 with a remainder of 348.
Use 4 as the next digit of our solution. 
Result so far: 24.0
Subtract 1708 from 2056 to get 348.
Include the next digit (6) from the dividend after 348, then repeat: 3486 / 427

Going ahead to step 6:
The number 427 fits into 3486 8 times, leaving a remainder of 70.
Put 8 as the next digit of the answer. 
Result so far: 248.0
Subtract 3416 from 3486 to get 70.
Include the next digit (1) from the dividend after 70, then repeat: 701 / 427

Moving on to step 7:
The number 427 fits into 701 1 times, leaving a remainder of 274.
Put 1 as the next digit of the answer. 
Result so far: 2481.0
Subtracting 427 from 701 leaves us with 274.
Fetch the next digit (7) from the dividend, attach it to 274 and continue: 2747 / 427

Step 8:
427 goes into 2747 6 times with a remainder of 185.
Use 6 as the next digit of our solution. 
Result so far: 24816.0
Deduct 2562 from 2747 and we're left with 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

Let's proceed to step 9:
When dividing 1850 by 427, we get 4 with a remainder of 142.
Record the quotient 4 as the next digit in the result. 
Result so far: 24816.4
Subtract 1708 from 1850 to get 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Let's proceed to step 10:
1420 divided by 427 is 3 with a remainder of 139.
The number 3 becomes the next digit in our result. 
Result so far: 24816.43
The remainder is 139 after subtracting 1281 from 1420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1390, and continue the process.

Moving on to step 11:
427 can be fit into 1390 3 times, resulting in a remainder of 109.
Use 3 as the next digit of our solution. 
Result so far: 24816.433
Subtract 1281 from 1390 to get 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

In conclusion, the division gives 24816.433 with a balance of 0.0109.