We're dividing 47641 by 91 
Our goal is to divide 47641 by 91.

On to step 1:
91 goes into 4 0 times with 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.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 91

Step 2:
91 goes into 47 0 times with a remainder of 47.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 47, we end up with 47.
Take the next digit (6) from the dividend and append it to 47, then repeat: 476 / 91

Going ahead to step 3:
The number 91 fits into 476 5 times, leaving a remainder of 21.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 455 from 476 and we're left with 21.
Take the next digit (4) from the dividend and append it to 21, then repeat: 214 / 91

Moving on to step 4:
When dividing 214 by 91, we get 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 52.0
If we subtract 182 from 214, we get 32.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 91

Moving on to step 5:
When dividing 321 by 91, we get 3 with a remainder of 48.
The number 3 becomes the next digit in our result. 
Result so far: 523.0
Subtracting 273 from 321 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 6:
480 divided by 91 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 523.5
If we take 455 away from 480, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
91 can be fit into 250 2 times, resulting in a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 523.52
If we subtract 182 from 250, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 8:
When dividing 680 by 91, we get 7 with a remainder of 43.
The next digit of our result is 7. 
Result so far: 523.527
Deduct 637 from 680 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 9:
430 divided by 91 is 4 with a remainder of 66.
Use 4 as the next digit of our solution. 
Result so far: 523.5274
If we subtract 364 from 430, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 10:
If we divide 660 by 91, we get 7 and a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 523.52747
Subtract 637 from 660 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 11:
When dividing 230 by 91, we get 2 with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 523.527472
Subtracting 182 from 230 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 12:
The number 91 fits into 480 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 523.5274725
If we take 455 away from 480, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 13:
250 divided by 91 is 2 with a remainder of 68.
Write down 2 as next digit of the result. 
Result so far: 523.52747252
The remainder is 68 after subtracting 182 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

In conclusion, the division gives 523.52747252 with a balance of 6.8e-08.