61001 ÷ 4 = 15250 R1
Let's divide 61001 by 4.

Step 1:
4 goes into 6 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 6 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 4

Step 2:
4 goes into 21 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 20 from 21 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 4

Step 3:
4 goes into 10 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 152
Subtract 8 from 10 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 4

Step 4:
4 goes into 20 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 1525
Subtract 20 from 20 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 4

Step 5:
4 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 15250
Subtract 0 from 1 to get 1.

The final result is 15250 with a remainder of 1.