74913 ÷ 7 = 10701 R6
Alright, let's work through the division of 74913 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 (9) of the dividend behind the 4 and repeat the process: 49 / 7

Step 3:
7 goes into 49 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 107
Subtract 49 from 49 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 7

Step 4:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 1070
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

Step 5:
7 goes into 13 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 10701
Subtract 7 from 13 to get 6.

The final result is 10701 with a remainder of 6.