We're dividing 81742674 by 432 
Our goal is to divide 81742674 by 432.

Moving on to step 1:
The number 432 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 432

Let's proceed to step 2:
If we divide 81 by 432, we get 0 and a remainder of 81.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 81 leaves us with 81.
Grab the next digit (7) from the dividend, add it to 81, then carry on: 817 / 432

Let's proceed to step 3:
If we divide 817 by 432, we get 1 and a remainder of 385.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 385 after subtracting 432 from 817.
Bring next digit (4) of the dividend behind the 385 and repeat the process: 3854 / 432

On to step 4:
3854 divided by 432 is 8 with a remainder of 398.
The next digit of our result is 8. 
Result so far: 18.0
Subtract 3456 from 3854 to get 398.
Bring next digit (2) of the dividend behind the 398 and repeat the process: 3982 / 432

Going ahead to step 5:
3982 divided by 432 is 9 with a remainder of 94.
The next digit of our result is 9. 
Result so far: 189.0
If we take 3888 away from 3982, we end up with 94.
Bring next digit (6) of the dividend behind the 94 and repeat the process: 946 / 432

Going ahead to step 6:
The number 432 fits into 946 2 times, leaving a remainder of 82.
The number 2 becomes the next digit in our result. 
Result so far: 1892.0
Deduct 864 from 946 and we're left with 82.
Take the next digit (7) from the dividend and append it to 82, then repeat: 827 / 432

Going ahead to step 7:
When dividing 827 by 432, we get 1 with a remainder of 395.
The number 1 becomes the next digit in our result. 
Result so far: 18921.0
The remainder is 395 after subtracting 432 from 827.
Include the next digit (4) from the dividend after 395, then repeat: 3954 / 432

Moving on to step 8:
If we divide 3954 by 432, we get 9 and a remainder of 66.
Put 9 as the next digit of the answer. 
Result so far: 189219.0
If we take 3888 away from 3954, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 9:
The number 432 fits into 660 1 times, leaving a remainder of 228.
The number 1 becomes the next digit in our result. 
Result so far: 189219.1
Subtract 432 from 660 to get 228.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2280, and continue the process.

Let's proceed to step 10:
The number 432 fits into 2280 5 times, leaving a remainder of 120.
Write down 5 as next digit of the result. 
Result so far: 189219.15
The remainder is 120 after subtracting 2160 from 2280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Moving on to step 11:
If we divide 1200 by 432, we get 2 and a remainder of 336.
Put 2 as the next digit of the answer. 
Result so far: 189219.152
The remainder is 336 after subtracting 864 from 1200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

Going ahead to step 12:
432 goes into 3360 7 times with a remainder of 336.
The number 7 becomes the next digit in our result. 
Result so far: 189219.1527
Deduct 3024 from 3360 and we're left with 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

Step 13:
3360 divided by 432 is 7 with a remainder of 336.
Use 7 as the next digit of our solution. 
Result so far: 189219.15277
If we take 3024 away from 3360, we end up with 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

In conclusion, the division gives 189219.15277 with a balance of 0.000336.