95374 ÷ 7 = 13624 R6
We're going to perform division on 95374 with 7 as the divisor.

Step 1:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 9 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 7

Step 2:
7 goes into 25 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 21 from 25 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 7

Step 3:
7 goes into 43 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 136
Subtract 42 from 43 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 7

Step 4:
7 goes into 17 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 1362
Subtract 14 from 17 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 7

Step 5:
7 goes into 34 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 13624
Subtract 28 from 34 to get 6.

The final result is 13624 with a remainder of 6.