Let's divide 384415 by 432
Our goal is to divide 384415 by 432.

On to step 1:
432 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 432

Step 2:
432 goes into 38 0 times with a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 38 leaves us with 38.
Take the next digit (4) from the dividend and append it to 38, then repeat: 384 / 432

Let's proceed to step 3:
432 can be fit into 384 0 times, resulting in a remainder of 384.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 384 and we're left with 384.
Grab the next digit (4) from the dividend, add it to 384, then carry on: 3844 / 432

Going ahead to step 4:
432 can be fit into 3844 8 times, resulting in a remainder of 388.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 3456 from 3844 and we're left with 388.
Bring next digit (1) of the dividend behind the 388 and repeat the process: 3881 / 432

On to step 5:
3881 divided by 432 is 8 with a remainder of 425.
Record the quotient 8 as the next digit in the result. 
Result so far: 88.0
Subtract 3456 from 3881 to get 425.
Append the next digit (5) from the dividend to 425 and continue with: 4255 / 432

Let's proceed to step 6:
If we divide 4255 by 432, we get 9 and a remainder of 367.
Use 9 as the next digit of our solution. 
Result so far: 889.0
The remainder is 367 after subtracting 3888 from 4255.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3670, and continue the process.

Step 7:
3670 divided by 432 is 8 with a remainder of 214.
Use 8 as the next digit of our solution. 
Result so far: 889.8
The remainder is 214 after subtracting 3456 from 3670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Advancing to step 8:
When dividing 2140 by 432, we get 4 with a remainder of 412.
Record the quotient 4 as the next digit in the result. 
Result so far: 889.84
Subtract 1728 from 2140 to get 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Step 9:
The number 432 fits into 4120 9 times, leaving a remainder of 232.
The next digit of our result is 9. 
Result so far: 889.849
Subtracting 3888 from 4120 leaves us with 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Let's proceed to step 10:
When dividing 2320 by 432, we get 5 with a remainder of 160.
The next digit of our result is 5. 
Result so far: 889.8495
Subtracting 2160 from 2320 leaves us with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

On to step 11:
The number 432 fits into 1600 3 times, leaving a remainder of 304.
Write down 3 as next digit of the result. 
Result so far: 889.84953
If we subtract 1296 from 1600, we get 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Going ahead to step 12:
When dividing 3040 by 432, we get 7 with a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 889.849537
If we take 3024 away from 3040, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 13:
432 goes into 160 0 times with a remainder of 160.
Put 0 as the next digit of the answer. 
Result so far: 889.849537
The remainder is 160 after subtracting 0 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Step 14:
When dividing 1600 by 432, we get 3 with a remainder of 304.
Record the quotient 3 as the next digit in the result. 
Result so far: 889.84953703
Deduct 1296 from 1600 and we're left 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.

The quotient of the division is 889.84953703, and the remainder is 3.04e-07.