15342 ÷ 7 = 2191 R5
Alright, let's work through the division of 15342 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 (5) of the dividend behind the 1 and repeat the process: 15 / 7

Step 2:
7 goes into 15 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 14 from 15 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

Step 3:
7 goes into 13 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 7 from 13 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 7

Step 4:
7 goes into 64 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 219
Subtract 63 from 64 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 7

Step 5:
7 goes into 12 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 2191
Subtract 7 from 12 to get 5.

The final result is 2191 with a remainder of 5.