We look at the division of 879594 by 641 
Let's see how many times 641 fits into 879594.

Let's proceed to step 1:
If we divide 8 by 641, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 641

Let's proceed to step 2:
If we divide 87 by 641, we get 0 and a remainder of 87.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 87 and we're left with 87.
Bring next digit (9) of the dividend behind the 87 and repeat the process: 879 / 641

Moving on to step 3:
641 can be fit into 879 1 times, resulting in a remainder of 238.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 641 away from 879, we end up with 238.
Grab the next digit (5) from the dividend, add it to 238, then carry on: 2385 / 641

Let's proceed to step 4:
If we divide 2385 by 641, we get 3 and a remainder of 462.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Deduct 1923 from 2385 and we're left with 462.
Grab the next digit (9) from the dividend, add it to 462, then carry on: 4629 / 641

Advancing to step 5:
641 goes into 4629 7 times with a remainder of 142.
The number 7 becomes the next digit in our result. 
Result so far: 137.0
Subtracting 4487 from 4629 leaves us with 142.
Bring next digit (4) of the dividend behind the 142 and repeat the process: 1424 / 641

Let's proceed to step 6:
When dividing 1424 by 641, we get 2 with a remainder of 142.
Record the quotient 2 as the next digit in the result. 
Result so far: 1372.0
Deduct 1282 from 1424 and we're left with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Step 7:
641 goes into 1420 2 times with a remainder of 138.
The next digit of our result is 2. 
Result so far: 1372.2
If we subtract 1282 from 1420, we get 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Going ahead to step 8:
641 can be fit into 1380 2 times, resulting in a remainder of 98.
Write down 2 as next digit of the result. 
Result so far: 1372.22
Deduct 1282 from 1380 and we're left with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

In conclusion, the division gives 1372.22 with a balance of 0.098.