45216 ÷ 7 = 6459 R3
Alright, let's work through the division of 45216 by 7 step by step.

Step 1:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 7

Step 2:
7 goes into 45 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 42 from 45 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 7

Step 3:
7 goes into 32 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 64
Subtract 28 from 32 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Step 4:
7 goes into 41 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 645
Subtract 35 from 41 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 7

Step 5:
7 goes into 66 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 6459
Subtract 63 from 66 to get 3.

The final result is 6459 with a remainder of 3.