51754 ÷ 3 = 17251 R1
Alright, let's work through the division of 51754 by 3 step by step.

Step 1:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 3 from 5 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 3

Step 2:
3 goes into 21 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 21 from 21 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 3

Step 3:
3 goes into 7 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 172
Subtract 6 from 7 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 3

Step 4:
3 goes into 15 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 1725
Subtract 15 from 15 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Step 5:
3 goes into 4 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 17251
Subtract 3 from 4 to get 1.

The final result is 17251 with a remainder of 1.