1074 ÷ 7 = 153 R3
Alright, let's work through the division of 1074 by 7 step by step.

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

Step 2:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 10 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: 15
Subtract 35 from 37 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 7

Step 4:
7 goes into 24 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 153
Subtract 21 from 24 to get 3.

The final result is 153 with a remainder of 3.