15898 ÷ 7 = 2271 R1
Alright, let's work through the division of 15898 by 7 step by step.

Step 1:
7 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 (5) of the dividend behind the 1 and repeat the process: 15 / 7

Step 2:
7 goes into 15 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 14 from 15 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 7

Step 3:
7 goes into 18 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 22
Subtract 14 from 18 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 7

Step 4:
7 goes into 49 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 227
Subtract 49 from 49 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 7

Step 5:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 2271
Subtract 7 from 8 to get 1.

The final result is 2271 with a remainder of 1.