21337 ÷ 7 = 3048 R1
Alright, let's work through the division of 21337 by 7 step by step.

Step 1:
7 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 / 7

Step 2:
7 goes into 21 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 21 from 21 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 7

Step 3:
7 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 30
Subtract 0 from 3 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 7

Step 4:
7 goes into 33 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 304
Subtract 28 from 33 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 7

Step 5:
7 goes into 57 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 3048
Subtract 56 from 57 to get 1.

The final result is 3048 with a remainder of 1.