We're dividing 709644 by 7 
We want to divide 709644 by 7.

Advancing to step 1:
7 can be fit into 7 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 0 after subtracting 7 from 7.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 7

Advancing to step 2:
When dividing 0 by 7, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 0 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 7

Moving on to step 3:
7 can be fit into 9 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 101.0
The remainder is 2 after subtracting 7 from 9.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 7

Advancing to step 4:
7 goes into 26 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 1013.0
The remainder is 5 after subtracting 21 from 26.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 7

Moving on to step 5:
7 can be fit into 54 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 10137.0
Subtract 49 from 54 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 7

Advancing to step 6:
When dividing 54 by 7, we get 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 101377.0
If we take 49 away from 54, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
The number 7 fits into 50 7 times, leaving a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 101377.7
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 101377.71
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 9:
7 goes into 30 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 101377.714
If we take 28 away from 30, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
20 divided by 7 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 101377.7142
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
If we divide 60 by 7, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 101377.71428
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
40 divided by 7 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 101377.714285
If we subtract 35 from 40, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
7 goes into 50 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 101377.7142857
Deduct 49 from 50 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 14:
If we divide 10 by 7, we get 1 and a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 101377.71428571
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 101377.71428571 with a remaining 3e-09.