We're dividing 819599 by 706 
We want to figure out the number of times 819599 can be divided by 706.

On to step 1:
706 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 706

Moving on to step 2:
When dividing 81 by 706, we get 0 with a remainder of 81.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 81 to get 81.
Fetch the next digit (9) from the dividend, attach it to 81 and continue: 819 / 706

Step 3:
706 can be fit into 819 1 times, resulting in a remainder of 113.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 706 from 819, we get 113.
Grab the next digit (5) from the dividend, add it to 113, then carry on: 1135 / 706

Advancing to step 4:
706 goes into 1135 1 times with a remainder of 429.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we subtract 706 from 1135, we get 429.
Bring next digit (9) of the dividend behind the 429 and repeat the process: 4299 / 706

Going ahead to step 5:
If we divide 4299 by 706, we get 6 and a remainder of 63.
The number 6 becomes the next digit in our result. 
Result so far: 116.0
Subtract 4236 from 4299 to get 63.
Append the next digit (9) from the dividend to 63 and continue with: 639 / 706

Let's proceed to step 6:
706 goes into 639 0 times with a remainder of 639.
The number 0 becomes the next digit in our result. 
Result so far: 1160.0
If we take 0 away from 639, we end up with 639.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6390, and continue the process.

Step 7:
706 goes into 6390 9 times with a remainder of 36.
Use 9 as the next digit of our solution. 
Result so far: 1160.9
The remainder is 36 after subtracting 6354 from 6390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
If we divide 360 by 706, we get 0 and a remainder of 360.
Write down 0 as next digit of the result. 
Result so far: 1160.9
The remainder is 360 after subtracting 0 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Moving on to step 9:
706 goes into 3600 5 times with a remainder of 70.
The next digit of our result is 5. 
Result so far: 1160.905
If we subtract 3530 from 3600, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 10:
When dividing 700 by 706, we get 0 with a remainder of 700.
The next digit of our result is 0. 
Result so far: 1160.905
The remainder is 700 after subtracting 0 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7000, and continue the process.

Moving on to step 11:
The number 706 fits into 7000 9 times, leaving a remainder of 646.
Write down 9 as next digit of the result. 
Result so far: 1160.90509
Subtract 6354 from 7000 to get 646.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6460, and continue the process.

Advancing to step 12:
The number 706 fits into 6460 9 times, leaving a remainder of 106.
The number 9 becomes the next digit in our result. 
Result so far: 1160.905099
The remainder is 106 after subtracting 6354 from 6460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

The final result is 1160.905099 with a remainder of 1.06e-05.