402754 ÷ 705 
We want to figure out the number of times 402754 can be divided by 705.

Advancing to step 1:
The number 705 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 705

On to step 2:
If we divide 40 by 705, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 40 leaves us with 40.
Include the next digit (2) from the dividend after 40, then repeat: 402 / 705

Advancing to step 3:
When dividing 402 by 705, we get 0 with a remainder of 402.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 402 and we're left with 402.
Include the next digit (7) from the dividend after 402, then repeat: 4027 / 705

Let's proceed to step 4:
The number 705 fits into 4027 5 times, leaving a remainder of 502.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 3525 from 4027 to get 502.
Grab the next digit (5) from the dividend, add it to 502, then carry on: 5025 / 705

Let's proceed to step 5:
When dividing 5025 by 705, we get 7 with a remainder of 90.
Put 7 as the next digit of the answer. 
Result so far: 57.0
If we subtract 4935 from 5025, we get 90.
Fetch the next digit (4) from the dividend, attach it to 90 and continue: 904 / 705

Step 6:
When dividing 904 by 705, we get 1 with a remainder of 199.
Write down 1 as next digit of the result. 
Result so far: 571.0
If we subtract 705 from 904, we get 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Let's proceed to step 7:
When dividing 1990 by 705, we get 2 with a remainder of 580.
The next digit of our result is 2. 
Result so far: 571.2
Subtract 1410 from 1990 to get 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

On to step 8:
5800 divided by 705 is 8 with a remainder of 160.
Write down 8 as next digit of the result. 
Result so far: 571.28
The remainder is 160 after subtracting 5640 from 5800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

On to step 9:
1600 divided by 705 is 2 with a remainder of 190.
The next digit of our result is 2. 
Result so far: 571.282
Subtract 1410 from 1600 to get 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Step 10:
The number 705 fits into 1900 2 times, leaving a remainder of 490.
Record the quotient 2 as the next digit in the result. 
Result so far: 571.2822
The remainder is 490 after subtracting 1410 from 1900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

The quotient of the division is 571.2822, and the remainder is 0.0049.