We look at the division of 705425 by 706 
Our goal is to divide 705425 by 706.

Going ahead to step 1:
706 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 706

Advancing to step 2:
70 divided by 706 is 0 with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 70 leaves us with 70.
Fetch the next digit (5) from the dividend, attach it to 70 and continue: 705 / 706

Moving on to step 3:
706 can be fit into 705 0 times, resulting in a remainder of 705.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 705, we end up with 705.
Fetch the next digit (4) from the dividend, attach it to 705 and continue: 7054 / 706

On to step 4:
706 goes into 7054 9 times with a remainder of 700.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 6354 from 7054 to get 700.
Fetch the next digit (2) from the dividend, attach it to 700 and continue: 7002 / 706

Let's proceed to step 5:
If we divide 7002 by 706, we get 9 and a remainder of 648.
Write down 9 as next digit of the result. 
Result so far: 99.0
Subtracting 6354 from 7002 leaves us with 648.
Grab the next digit (5) from the dividend, add it to 648, then carry on: 6485 / 706

Step 6:
6485 divided by 706 is 9 with a remainder of 131.
Record the quotient 9 as the next digit in the result. 
Result so far: 999.0
Deduct 6354 from 6485 and we're left with 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

Let's proceed to step 7:
The number 706 fits into 1310 1 times, leaving a remainder of 604.
The next digit of our result is 1. 
Result so far: 999.1
Subtract 706 from 1310 to get 604.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6040, and continue the process.

On to step 8:
706 can be fit into 6040 8 times, resulting in a remainder of 392.
Write down 8 as next digit of the result. 
Result so far: 999.18
Subtracting 5648 from 6040 leaves us with 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Step 9:
When dividing 3920 by 706, we get 5 with a remainder of 390.
The next digit of our result is 5. 
Result so far: 999.185
Subtract 3530 from 3920 to get 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Moving on to step 10:
If we divide 3900 by 706, we get 5 and a remainder of 370.
Record the quotient 5 as the next digit in the result. 
Result so far: 999.1855
If we take 3530 away from 3900, we end up with 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Our division results in 999.1855 with a remaining 0.0037.