We're dividing 536821 by 7 
We want to divide 536821 by 7.

Step 1:
7 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 7

Step 2:
The number 7 fits into 53 7 times, leaving a remainder of 4.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 49 from 53, we get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 7

Advancing to step 3:
46 divided by 7 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 76.0
Deduct 42 from 46 and we're left with 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 7

Going ahead to step 4:
The number 7 fits into 48 6 times, leaving a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 766.0
The remainder is 6 after subtracting 42 from 48.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 7

Let's proceed to step 5:
7 goes into 62 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 7668.0
Deduct 56 from 62 and we're left with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 7

Going ahead to step 6:
The number 7 fits into 61 8 times, leaving a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 76688.0
If we subtract 56 from 61, 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.

On to step 7:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 76688.7
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.

Going ahead to step 8:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 76688.71
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.

Moving on to step 9:
30 divided by 7 is 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 76688.714
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
If we divide 20 by 7, we get 2 and a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 76688.7142
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.

On to step 11:
The number 7 fits into 60 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 76688.71428
If we take 56 away from 60, we end up 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.

Moving on to 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: 76688.714285
Deduct 35 from 40 and we're left 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.

Step 13:
If we divide 50 by 7, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 76688.7142857
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:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 76688.71428571
Deduct 7 from 10 and we're left 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.

The quotient of the division is 76688.71428571, and the remainder is 3e-09.