5978 ÷ 3 = 1992 R2
Let's divide 5978 by 3.

Step 1:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 3 from 5 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 3

Step 2:
3 goes into 29 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 27 from 29 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 3

Step 3:
3 goes into 27 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 199
Subtract 27 from 27 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 3

Step 4:
3 goes into 8 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 1992
Subtract 6 from 8 to get 2.

The final result is 1992 with a remainder of 2.