61344 ÷ 7 = 8763 R3
Let's divide 61344 by 7.

Step 1:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 7

Step 2:
7 goes into 61 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 56 from 61 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 7

Step 3:
7 goes into 53 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 87
Subtract 49 from 53 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 7

Step 4:
7 goes into 44 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 876
Subtract 42 from 44 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 7

Step 5:
7 goes into 24 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 8763
Subtract 21 from 24 to get 3.

The final result is 8763 with a remainder of 3.