Let's divide 17891 by 64
We want to divide 17891 by 64.

Advancing to step 1:
64 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 64

Moving on to step 2:
If we divide 17 by 64, we get 0 and a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Include the next digit (8) from the dividend after 17, then repeat: 178 / 64

Moving on to step 3:
178 divided by 64 is 2 with a remainder of 50.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 128 from 178 to get 50.
Grab the next digit (9) from the dividend, add it to 50, then carry on: 509 / 64

Let's proceed to step 4:
When dividing 509 by 64, we get 7 with a remainder of 61.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
Deduct 448 from 509 and we're left with 61.
Append the next digit (1) from the dividend to 61 and continue with: 611 / 64

Advancing to step 5:
64 goes into 611 9 times with a remainder of 35.
The next digit of our result is 9. 
Result so far: 279.0
Subtracting 576 from 611 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 6:
The number 64 fits into 350 5 times, leaving a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 279.5
Subtract 320 from 350 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
When dividing 300 by 64, we get 4 with a remainder of 44.
The next digit of our result is 4. 
Result so far: 279.54
The remainder is 44 after subtracting 256 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 8:
The number 64 fits into 440 6 times, leaving a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 279.546
If we subtract 384 from 440, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 9:
64 goes into 560 8 times with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 279.5468
Subtract 512 from 560 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 10:
When dividing 480 by 64, we get 7 with a remainder of 32.
Write down 7 as next digit of the result. 
Result so far: 279.54687
If we subtract 448 from 480, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 11:
64 can be fit into 320 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 279.546875
The remainder is 0 after subtracting 320 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 12:
64 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 279.546875
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 13:
The number 64 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 279.546875
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 279.546875 with a balance of 0.0.