6442 ÷ 5 = 1288 R2
Let's divide 6442 by 5.

Step 1:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 6 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 5

Step 2:
5 goes into 14 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 10 from 14 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 5

Step 3:
5 goes into 44 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 128
Subtract 40 from 44 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 5

Step 4:
5 goes into 42 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 1288
Subtract 40 from 42 to get 2.

The final result is 1288 with a remainder of 2.