87429 ÷ 4 = 21857 R1
Alright, let's work through the division of 87429 by 4 step by step.

Step 1:
4 goes into 8 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 8 from 8 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 4

Step 2:
4 goes into 7 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 4 from 7 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 4

Step 3:
4 goes into 34 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 218
Subtract 32 from 34 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 4

Step 4:
4 goes into 22 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 2185
Subtract 20 from 22 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 4

Step 5:
4 goes into 29 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 21857
Subtract 28 from 29 to get 1.

The final result is 21857 with a remainder of 1.