We look at the division of 10589697 by 598 
We're looking to find how many times 598 goes into 10589697.

Moving on to step 1:
The number 598 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 598

On to step 2:
10 divided by 598 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 598

Let's proceed to step 3:
The number 598 fits into 105 0 times, leaving a remainder of 105.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 105, we get 105.
Fetch the next digit (8) from the dividend, attach it to 105 and continue: 1058 / 598

Going ahead to step 4:
If we divide 1058 by 598, we get 1 and a remainder of 460.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 598 from 1058 leaves us with 460.
Append the next digit (9) from the dividend to 460 and continue with: 4609 / 598

Going ahead to step 5:
If we divide 4609 by 598, we get 7 and a remainder of 423.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtracting 4186 from 4609 leaves us with 423.
Append the next digit (6) from the dividend to 423 and continue with: 4236 / 598

Let's proceed to step 6:
4236 divided by 598 is 7 with a remainder of 50.
The number 7 becomes the next digit in our result. 
Result so far: 177.0
If we take 4186 away from 4236, we end up with 50.
Include the next digit (9) from the dividend after 50, then repeat: 509 / 598

Step 7:
509 divided by 598 is 0 with a remainder of 509.
The number 0 becomes the next digit in our result. 
Result so far: 1770.0
Subtract 0 from 509 to get 509.
Bring next digit (7) of the dividend behind the 509 and repeat the process: 5097 / 598

Going ahead to step 8:
When dividing 5097 by 598, we get 8 with a remainder of 313.
Put 8 as the next digit of the answer. 
Result so far: 17708.0
If we subtract 4784 from 5097, we get 313.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3130, and continue the process.

Advancing to step 9:
If we divide 3130 by 598, we get 5 and a remainder of 140.
The next digit of our result is 5. 
Result so far: 17708.5
Subtracting 2990 from 3130 leaves us with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Advancing to step 10:
1400 divided by 598 is 2 with a remainder of 204.
Record the quotient 2 as the next digit in the result. 
Result so far: 17708.52
The remainder is 204 after subtracting 1196 from 1400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

Advancing to step 11:
2040 divided by 598 is 3 with a remainder of 246.
The next digit of our result is 3. 
Result so far: 17708.523
If we take 1794 away from 2040, we end up with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Let's proceed to step 12:
598 goes into 2460 4 times with a remainder of 68.
Put 4 as the next digit of the answer. 
Result so far: 17708.5234
Subtracting 2392 from 2460 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 13:
598 goes into 680 1 times with a remainder of 82.
The next digit of our result is 1. 
Result so far: 17708.52341
Subtract 598 from 680 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Going ahead to step 14:
598 goes into 820 1 times with a remainder of 222.
The number 1 becomes the next digit in our result. 
Result so far: 17708.523411
Subtract 598 from 820 to get 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

In conclusion, the division gives 17708.523411 with a balance of 2.22e-05.