71955 ÷ 7 = 10279 R2
Alright, let's work through the division of 71955 by 7 step by step.

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

Step 2:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 1 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 7

Step 3:
7 goes into 19 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 102
Subtract 14 from 19 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 7

Step 4:
7 goes into 55 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 1027
Subtract 49 from 55 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 7

Step 5:
7 goes into 65 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 10279
Subtract 63 from 65 to get 2.

The final result is 10279 with a remainder of 2.