1971 ÷ 1 = 1971 R0
We're going to perform division on 1971 with 1 as the divisor.

Step 1:
1 goes into 1 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 1 from 1 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 1

Step 2:
1 goes into 9 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 9 from 9 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 1

Step 3:
1 goes into 7 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 197
Subtract 7 from 7 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 1

Step 4:
1 goes into 1 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1971
Subtract 1 from 1 to get 0.

The final result is 1971 with a remainder of 0.