We're dividing 946577 by 84 
We want to figure out the number of times 946577 can be divided by 84.

Going ahead to step 1:
If we divide 9 by 84, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 84

On to step 2:
When dividing 94 by 84, we get 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 10 after subtracting 84 from 94.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 84

Going ahead to step 3:
When dividing 106 by 84, we get 1 with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 84 from 106 to get 22.
Take the next digit (5) from the dividend and append it to 22, then repeat: 225 / 84

On to step 4:
The number 84 fits into 225 2 times, leaving a remainder of 57.
Use 2 as the next digit of our solution. 
Result so far: 112.0
Deduct 168 from 225 and we're left with 57.
Grab the next digit (7) from the dividend, add it to 57, then carry on: 577 / 84

Advancing to step 5:
84 goes into 577 6 times with a remainder of 73.
Record the quotient 6 as the next digit in the result. 
Result so far: 1126.0
Deduct 504 from 577 and we're left with 73.
Grab the next digit (7) from the dividend, add it to 73, then carry on: 737 / 84

Step 6:
84 can be fit into 737 8 times, resulting in a remainder of 65.
Use 8 as the next digit of our solution. 
Result so far: 11268.0
Subtract 672 from 737 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 7:
When dividing 650 by 84, we get 7 with a remainder of 62.
Use 7 as the next digit of our solution. 
Result so far: 11268.7
If we subtract 588 from 650, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 8:
When dividing 620 by 84, we get 7 with a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 11268.77
If we subtract 588 from 620, 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.

Our division results in 11268.77 with a remaining 0.032.