45774 ÷ 7 = 6539 R1
Let's divide 45774 by 7.

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 (5) of the dividend behind the 4 and repeat the process: 45 / 7

Step 2:
7 goes into 45 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 42 from 45 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: 65
Subtract 35 from 37 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 7

Step 4:
7 goes into 27 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 653
Subtract 21 from 27 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 7

Step 5:
7 goes into 64 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 6539
Subtract 63 from 64 to get 1.

The final result is 6539 with a remainder of 1.