21967 ÷ 6 = 3661 R1
We're going to perform division on 21967 with 6 as the divisor.

Step 1:
6 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 6

Step 2:
6 goes into 21 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 18 from 21 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 6

Step 3:
6 goes into 39 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 36
Subtract 36 from 39 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 6

Step 4:
6 goes into 36 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 366
Subtract 36 from 36 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 6

Step 5:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 3661
Subtract 6 from 7 to get 1.

The final result is 3661 with a remainder of 1.