We're dividing 877945 by 83 
We want to figure out the number of times 877945 can be divided by 83.

Advancing to step 1:
83 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 83

Moving on to step 2:
If we divide 87 by 83, we get 1 and a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 83 from 87 leaves us with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 83

Let's proceed to step 3:
83 can be fit into 47 0 times, resulting in a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 47, we end up with 47.
Fetch the next digit (9) from the dividend, attach it to 47 and continue: 479 / 83

Moving on to step 4:
The number 83 fits into 479 5 times, leaving a remainder of 64.
The next digit of our result is 5. 
Result so far: 105.0
If we take 415 away from 479, we end up with 64.
Bring next digit (4) of the dividend behind the 64 and repeat the process: 644 / 83

Moving on to step 5:
If we divide 644 by 83, we get 7 and a remainder of 63.
Put 7 as the next digit of the answer. 
Result so far: 1057.0
If we take 581 away from 644, we end up with 63.
Fetch the next digit (5) from the dividend, attach it to 63 and continue: 635 / 83

Let's proceed to step 6:
If we divide 635 by 83, we get 7 and a remainder of 54.
Record the quotient 7 as the next digit in the result. 
Result so far: 10577.0
Subtracting 581 from 635 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 7:
When dividing 540 by 83, we get 6 with a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 10577.6
Subtract 498 from 540 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
83 goes into 420 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 10577.65
If we take 415 away from 420, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
If we divide 50 by 83, we get 0 and a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 10577.65
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 10:
500 divided by 83 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 10577.6506
Subtracting 498 from 500 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
The number 83 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 10577.6506
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 12:
200 divided by 83 is 2 with a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 10577.650602
The remainder is 34 after subtracting 166 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 13:
The number 83 fits into 340 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 10577.6506024
The remainder is 8 after subtracting 332 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
83 goes into 80 0 times with a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 10577.6506024
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

In conclusion, the division gives 10577.6506024 with a balance of 8e-08.