7840 ÷ 4 = 1960 R0
Alright, let's work through the division of 7840 by 4 step by step.

Step 1:
4 goes into 7 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 7 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 4

Step 2:
4 goes into 38 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 36 from 38 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 4

Step 3:
4 goes into 24 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 196
Subtract 24 from 24 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 4

Step 4:
4 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 1960
Subtract 0 from 0 to get 0.

The final result is 1960 with a remainder of 0.