73758 ÷ 7 = 10536 R6
Alright, let's work through the division of 73758 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 (3) of the dividend behind the 0 and repeat the process: 3 / 7

Step 2:
7 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 7

Step 3:
7 goes into 37 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 105
Subtract 35 from 37 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 7

Step 4:
7 goes into 25 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 1053
Subtract 21 from 25 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 7

Step 5:
7 goes into 48 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 10536
Subtract 42 from 48 to get 6.

The final result is 10536 with a remainder of 6.