55821 ÷ 7 = 7974 R3
Let's divide 55821 by 7.

Step 1:
7 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 7

Step 2:
7 goes into 55 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 49 from 55 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 7

Step 3:
7 goes into 68 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 79
Subtract 63 from 68 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 7

Step 4:
7 goes into 52 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 797
Subtract 49 from 52 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 7

Step 5:
7 goes into 31 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 7974
Subtract 28 from 31 to get 3.

The final result is 7974 with a remainder of 3.