11437 ÷ 4 = 2859 R1
Let's divide 11437 by 4.

Step 1:
4 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 (1) of the dividend behind the 1 and repeat the process: 11 / 4

Step 2:
4 goes into 11 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 8 from 11 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: 28
Subtract 32 from 34 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 4

Step 4:
4 goes into 23 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 285
Subtract 20 from 23 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 4

Step 5:
4 goes into 37 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 2859
Subtract 36 from 37 to get 1.

The final result is 2859 with a remainder of 1.