48588 ÷ 7 = 6941 R1
Alright, let's work through the division of 48588 by 7 step by step.

Step 1:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 7

Step 2:
7 goes into 48 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 42 from 48 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 7

Step 3:
7 goes into 65 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 69
Subtract 63 from 65 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 7

Step 4:
7 goes into 28 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 694
Subtract 28 from 28 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 7

Step 5:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 6941
Subtract 7 from 8 to get 1.

The final result is 6941 with a remainder of 1.