10350299 ÷ 559 
We want to figure out the number of times 10350299 can be divided by 559.

On to step 1:
When dividing 1 by 559, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 559

Going ahead to step 2:
If we divide 10 by 559, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 559

On to step 3:
The number 559 fits into 103 0 times, leaving a remainder of 103.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 103 leaves us with 103.
Append the next digit (5) from the dividend to 103 and continue with: 1035 / 559

Advancing to step 4:
The number 559 fits into 1035 1 times, leaving a remainder of 476.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 559 from 1035 leaves us with 476.
Bring next digit (0) of the dividend behind the 476 and repeat the process: 4760 / 559

On to step 5:
559 goes into 4760 8 times with a remainder of 288.
Write down 8 as next digit of the result. 
Result so far: 18.0
Deduct 4472 from 4760 and we're left with 288.
Append the next digit (2) from the dividend to 288 and continue with: 2882 / 559

Moving on to step 6:
The number 559 fits into 2882 5 times, leaving a remainder of 87.
Put 5 as the next digit of the answer. 
Result so far: 185.0
Subtract 2795 from 2882 to get 87.
Take the next digit (9) from the dividend and append it to 87, then repeat: 879 / 559

Moving on to step 7:
The number 559 fits into 879 1 times, leaving a remainder of 320.
Write down 1 as next digit of the result. 
Result so far: 1851.0
The remainder is 320 after subtracting 559 from 879.
Fetch the next digit (9) from the dividend, attach it to 320 and continue: 3209 / 559

Let's proceed to step 8:
If we divide 3209 by 559, we get 5 and a remainder of 414.
Use 5 as the next digit of our solution. 
Result so far: 18515.0
If we subtract 2795 from 3209, we get 414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4140, and continue the process.

Going ahead to step 9:
559 goes into 4140 7 times with a remainder of 227.
The next digit of our result is 7. 
Result so far: 18515.7
Subtract 3913 from 4140 to get 227.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2270, and continue the process.

Let's proceed to step 10:
When dividing 2270 by 559, we get 4 with a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 18515.74
Subtracting 2236 from 2270 leaves us 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.

Step 11:
When dividing 340 by 559, we get 0 with a remainder of 340.
Use 0 as the next digit of our solution. 
Result so far: 18515.74
If we subtract 0 from 340, we get 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Let's proceed to step 12:
559 goes into 3400 6 times with a remainder of 46.
Use 6 as the next digit of our solution. 
Result so far: 18515.7406
If we take 3354 away from 3400, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 13:
If we divide 460 by 559, we get 0 and a remainder of 460.
The next digit of our result is 0. 
Result so far: 18515.7406
Subtracting 0 from 460 leaves us with 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

On to step 14:
4600 divided by 559 is 8 with a remainder of 128.
Put 8 as the next digit of the answer. 
Result so far: 18515.740608
If we take 4472 away from 4600, we end up with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

On to step 15:
559 goes into 1280 2 times with a remainder of 162.
Write down 2 as next digit of the result. 
Result so far: 18515.7406082
Subtract 1118 from 1280 to get 162.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

On to step 16:
When dividing 1620 by 559, we get 2 with a remainder of 502.
Record the quotient 2 as the next digit in the result. 
Result so far: 18515.74060822
If we subtract 1118 from 1620, we get 502.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5020, and continue the process.

Our division results in 18515.74060822 with a remaining 5.02e-07.