85948 ÷ 7 = 12278 R2
Alright, let's work through the division of 85948 by 7 step by step.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 7

Step 2:
7 goes into 15 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 14 from 15 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: 122
Subtract 14 from 19 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 7

Step 4:
7 goes into 54 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 1227
Subtract 49 from 54 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 7

Step 5:
7 goes into 58 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 12278
Subtract 56 from 58 to get 2.

The final result is 12278 with a remainder of 2.