55761 ÷ 5 = 11152 R1
Alright, let's work through the division of 55761 by 5 step by step.

Step 1:
5 goes into 5 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 5 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 5

Step 2:
5 goes into 5 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 5 from 5 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 5

Step 3:
5 goes into 7 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 111
Subtract 5 from 7 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 5

Step 4:
5 goes into 26 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 1115
Subtract 25 from 26 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 5

Step 5:
5 goes into 11 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 11152
Subtract 10 from 11 to get 1.

The final result is 11152 with a remainder of 1.