We're dividing 4318607 by 598 
Our goal is to divide 4318607 by 598.

Going ahead to step 1:
If we divide 4 by 598, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 598

Let's proceed to step 2:
43 divided by 598 is 0 with a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Fetch the next digit (1) from the dividend, attach it to 43 and continue: 431 / 598

On to step 3:
598 can be fit into 431 0 times, resulting in a remainder of 431.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 431, we get 431.
Bring next digit (8) of the dividend behind the 431 and repeat the process: 4318 / 598

Going ahead to step 4:
When dividing 4318 by 598, we get 7 with a remainder of 132.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 4186 from 4318 and we're left with 132.
Take the next digit (6) from the dividend and append it to 132, then repeat: 1326 / 598

Moving on to step 5:
When dividing 1326 by 598, we get 2 with a remainder of 130.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
If we take 1196 away from 1326, we end up with 130.
Append the next digit (0) from the dividend to 130 and continue with: 1300 / 598

Step 6:
1300 divided by 598 is 2 with a remainder of 104.
The number 2 becomes the next digit in our result. 
Result so far: 722.0
Subtracting 1196 from 1300 leaves us with 104.
Append the next digit (7) from the dividend to 104 and continue with: 1047 / 598

Moving on to step 7:
598 can be fit into 1047 1 times, resulting in a remainder of 449.
The number 1 becomes the next digit in our result. 
Result so far: 7221.0
Deduct 598 from 1047 and we're left with 449.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4490, and continue the process.

Moving on to step 8:
598 goes into 4490 7 times with a remainder of 304.
Write down 7 as next digit of the result. 
Result so far: 7221.7
Subtracting 4186 from 4490 leaves us with 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Advancing to step 9:
598 goes into 3040 5 times with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 7221.75
Subtract 2990 from 3040 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
When dividing 500 by 598, we get 0 with a remainder of 500.
Write down 0 as next digit of the result. 
Result so far: 7221.75
Deduct 0 from 500 and we're left with 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Going ahead to step 11:
598 can be fit into 5000 8 times, resulting in a remainder of 216.
The next digit of our result is 8. 
Result so far: 7221.7508
Subtracting 4784 from 5000 leaves us with 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

Going ahead to step 12:
When dividing 2160 by 598, we get 3 with a remainder of 366.
Use 3 as the next digit of our solution. 
Result so far: 7221.75083
If we take 1794 away from 2160, we end up with 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Moving on to step 13:
598 goes into 3660 6 times with a remainder of 72.
The next digit of our result is 6. 
Result so far: 7221.750836
If we subtract 3588 from 3660, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 14:
When dividing 720 by 598, we get 1 with a remainder of 122.
Write down 1 as next digit of the result. 
Result so far: 7221.7508361
If we subtract 598 from 720, we get 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

On to step 15:
The number 598 fits into 1220 2 times, leaving a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 7221.75083612
The remainder is 24 after subtracting 1196 from 1220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final outcome is 7221.75083612, with a leftover of 2.4e-08.