66124860 ÷ 598 
Our goal is to divide 66124860 by 598.

Advancing to step 1:
When dividing 6 by 598, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 598

On to step 2:
66 divided by 598 is 0 with a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Take the next digit (1) from the dividend and append it to 66, then repeat: 661 / 598

Moving on to step 3:
If we divide 661 by 598, we get 1 and a remainder of 63.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 598 from 661 leaves us with 63.
Grab the next digit (2) from the dividend, add it to 63, then carry on: 632 / 598

Let's proceed to step 4:
598 goes into 632 1 times with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtracting 598 from 632 leaves us with 34.
Take the next digit (4) from the dividend and append it to 34, then repeat: 344 / 598

Advancing to step 5:
The number 598 fits into 344 0 times, leaving a remainder of 344.
The next digit of our result is 0. 
Result so far: 110.0
Deduct 0 from 344 and we're left with 344.
Bring next digit (8) of the dividend behind the 344 and repeat the process: 3448 / 598

Going ahead to step 6:
598 can be fit into 3448 5 times, resulting in a remainder of 458.
Record the quotient 5 as the next digit in the result. 
Result so far: 1105.0
If we subtract 2990 from 3448, we get 458.
Fetch the next digit (6) from the dividend, attach it to 458 and continue: 4586 / 598

Let's proceed to step 7:
If we divide 4586 by 598, we get 7 and a remainder of 400.
Put 7 as the next digit of the answer. 
Result so far: 11057.0
If we subtract 4186 from 4586, we get 400.
Fetch the next digit (0) from the dividend, attach it to 400 and continue: 4000 / 598

Advancing to step 8:
The number 598 fits into 4000 6 times, leaving a remainder of 412.
The next digit of our result is 6. 
Result so far: 110576.0
If we take 3588 away from 4000, we end up with 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

On to step 9:
The number 598 fits into 4120 6 times, leaving a remainder of 532.
The number 6 becomes the next digit in our result. 
Result so far: 110576.6
Subtracting 3588 from 4120 leaves us with 532.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5320, and continue the process.

Moving on to step 10:
598 can be fit into 5320 8 times, resulting in a remainder of 536.
Use 8 as the next digit of our solution. 
Result so far: 110576.68
Deduct 4784 from 5320 and we're left with 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

Going ahead to step 11:
5360 divided by 598 is 8 with a remainder of 576.
Use 8 as the next digit of our solution. 
Result so far: 110576.688
If we subtract 4784 from 5360, we get 576.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5760, and continue the process.

In conclusion, the division gives 110576.688 with a balance of 0.0576.