742942 ÷ 84 
We want to figure out the number of times 742942 can be divided by 84.

Step 1:
84 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 84

On to step 2:
84 goes into 74 0 times with a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 74 and we're left with 74.
Take the next digit (2) from the dividend and append it to 74, then repeat: 742 / 84

Advancing to step 3:
742 divided by 84 is 8 with a remainder of 70.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 70 after subtracting 672 from 742.
Append the next digit (9) from the dividend to 70 and continue with: 709 / 84

Advancing to step 4:
84 can be fit into 709 8 times, resulting in a remainder of 37.
Record the quotient 8 as the next digit in the result. 
Result so far: 88.0
If we take 672 away from 709, we end up with 37.
Fetch the next digit (4) from the dividend, attach it to 37 and continue: 374 / 84

Step 5:
The number 84 fits into 374 4 times, leaving a remainder of 38.
The number 4 becomes the next digit in our result. 
Result so far: 884.0
Subtracting 336 from 374 leaves us with 38.
Append the next digit (2) from the dividend to 38 and continue with: 382 / 84

Moving on to step 6:
When dividing 382 by 84, we get 4 with a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 8844.0
Deduct 336 from 382 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 7:
When dividing 460 by 84, we get 5 with a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 8844.5
The remainder is 40 after subtracting 420 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
400 divided by 84 is 4 with a remainder of 64.
Write down 4 as next digit of the result. 
Result so far: 8844.54
Subtracting 336 from 400 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 9:
84 can be fit into 640 7 times, resulting in a remainder of 52.
Use 7 as the next digit of our solution. 
Result so far: 8844.547
If we take 588 away from 640, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 10:
When dividing 520 by 84, we get 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 8844.5476
Subtracting 504 from 520 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
The number 84 fits into 160 1 times, leaving a remainder of 76.
Record the quotient 1 as the next digit in the result. 
Result so far: 8844.54761
Subtract 84 from 160 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 12:
760 divided by 84 is 9 with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 8844.547619
The remainder is 4 after subtracting 756 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
40 divided by 84 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 8844.547619
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 14:
84 can be fit into 400 4 times, resulting in a remainder of 64.
Write down 4 as next digit of the result. 
Result so far: 8844.54761904
The remainder is 64 after subtracting 336 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Our division results in 8844.54761904 with a remaining 6.4e-08.