74250 ÷ 7 = 10607 R1
Alright, let's work through the division of 74250 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 (4) of the dividend behind the 0 and repeat the process: 4 / 7

Step 2:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 4 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 7

Step 3:
7 goes into 42 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 106
Subtract 42 from 42 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 7

Step 4:
7 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 1060
Subtract 0 from 5 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 7

Step 5:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 10607
Subtract 49 from 50 to get 1.

The final result is 10607 with a remainder of 1.