We look at the division of 7407603 by 706 
We're looking to find how many times 706 goes into 7407603.

Advancing to step 1:
7 divided by 706 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 706

Going ahead to step 2:
706 can be fit into 74 0 times, resulting in a remainder of 74.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 74, we end up with 74.
Fetch the next digit (0) from the dividend, attach it to 74 and continue: 740 / 706

Step 3:
When dividing 740 by 706, we get 1 with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 706 from 740, we get 34.
Append the next digit (7) from the dividend to 34 and continue with: 347 / 706

Step 4:
If we divide 347 by 706, we get 0 and a remainder of 347.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 347 and we're left with 347.
Take the next digit (6) from the dividend and append it to 347, then repeat: 3476 / 706

Step 5:
706 can be fit into 3476 4 times, resulting in a remainder of 652.
The next digit of our result is 4. 
Result so far: 104.0
If we take 2824 away from 3476, we end up with 652.
Fetch the next digit (0) from the dividend, attach it to 652 and continue: 6520 / 706

Advancing to step 6:
The number 706 fits into 6520 9 times, leaving a remainder of 166.
The number 9 becomes the next digit in our result. 
Result so far: 1049.0
If we take 6354 away from 6520, we end up with 166.
Fetch the next digit (3) from the dividend, attach it to 166 and continue: 1663 / 706

Step 7:
1663 divided by 706 is 2 with a remainder of 251.
Use 2 as the next digit of our solution. 
Result so far: 10492.0
Subtract 1412 from 1663 to get 251.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2510, and continue the process.

Going ahead to step 8:
The number 706 fits into 2510 3 times, leaving a remainder of 392.
Record the quotient 3 as the next digit in the result. 
Result so far: 10492.3
If we take 2118 away from 2510, we end up 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.

Let's proceed to step 9:
When dividing 3920 by 706, we get 5 with a remainder of 390.
The number 5 becomes the next digit in our result. 
Result so far: 10492.35
Deduct 3530 from 3920 and we're left with 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

On to step 10:
706 goes into 3900 5 times with a remainder of 370.
The number 5 becomes the next digit in our result. 
Result so far: 10492.355
If we subtract 3530 from 3900, we get 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

The quotient of the division is 10492.355, and the remainder is 0.037.