9971 ÷ 5 = 1994 R1
We're going to perform division on 9971 with 5 as the divisor.

Step 1:
5 goes into 9 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 9 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 5

Step 2:
5 goes into 49 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 45 from 49 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 5

Step 3:
5 goes into 47 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 199
Subtract 45 from 47 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 5

Step 4:
5 goes into 21 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 1994
Subtract 20 from 21 to get 1.

The final result is 1994 with a remainder of 1.