We look at the division of 641569 by 7 
We want to figure out the number of times 641569 can be divided by 7.

Let's proceed to step 1:
6 divided by 7 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 7

Advancing to step 2:
If we divide 64 by 7, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 9.0
Subtracting 63 from 64 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 7

Step 3:
The number 7 fits into 11 1 times, leaving a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 91.0
The remainder is 4 after subtracting 7 from 11.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 7

Step 4:
45 divided by 7 is 6 with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 916.0
Deduct 42 from 45 and we're left with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 7

On to step 5:
The number 7 fits into 36 5 times, leaving a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 9165.0
If we subtract 35 from 36, we get 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 7

On to step 6:
If we divide 19 by 7, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 91652.0
If we subtract 14 from 19, 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.

Moving on to step 7:
7 goes into 50 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 91652.7
If we subtract 49 from 50, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 91652.71
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 can be fit into 30 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 91652.714
Deduct 28 from 30 and we're left 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.

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: 91652.7142
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
7 goes into 60 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 91652.71428
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
7 goes into 40 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 91652.714285
Subtract 35 from 40 to 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.

Let's proceed to step 13:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 91652.7142857
Subtracting 49 from 50 leaves us 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.

Step 14:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 91652.71428571
Subtracting 7 from 10 leaves us 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.

In conclusion, the division gives 91652.71428571 with a balance of 3e-09.