MIPS, Recursion - mips

Question

I trying to write a MIPS program that gets an unsigned integer as argument and returns the sum of all decimal digits in the integer recursively. For example if the argument is 75080 then the sum to be returned is 20 (7+5+0+8+0). Here is my code so far. Any help would be appreciated.
My way of thinking was to divide the number by 10 leaving me with the last integer in the number, add the reminder using mfhi.
.data
prompt: .asciiz "Enter a string of integer: "
output: .asciiz "\nThe total sum is: "
.text
.globl main
main:
la $a0, prompt
li $v0, 4
syscall
li $v0, 5
syscall
move $t2, $v0
la $a0, output
li $v0, 4
syscall
Loop:
div $t2, $t2, 10
mflo, $t1
mfhi, $t3
beqz $t1, Exit
add $t1, $t1, 0
b additive
additive:
add $t0, $t1, $t1
j Loop
Exit:
la $a0, output
li $v0, 4
syscall
la $v0, 10
syscall

Answer 1

What's this supposed to be doing? Adding 0 to the register won't change its value:
add $t1, $t1, 0
After dividing and copying to $t1 and $t3, the quotient is in $t1 and the remainder is in $t3. You're treating it the other way around when you add to the total.
This is actually going to give you $t0 = 2 * $t1: you're adding $t1 to itself and storing the result in $t0.
add $t0, $t1, $t1
You probably actually want:
add $t0, $t0, $t3
You're checking for $t1 == 0 before adding the remainder to the total, so the most significant digit will never get added. You don't really need a subroutine for adding to the total either. You can also use bnez Loop instead of beqz Exit -> b Loop. Lastly, you don't even need $t1, because the quotient is already in $t2.
Get rid of additive and replace Loop with this:
Loop:
div $t2, $t2, 10
mfhi, $t3
add $t0, $t0, $t3
bnez $t2, Loop
Your Exit is weird: you're printing the output string a second time instead of printing the integer.
Change it to this:
Exit:
move $a0, $t0
la $v0, 1
syscall
la $v0, 10
syscall

Answer 2

The approach is quite simple. You need recursive function, I named it SumDigits that will take the last digit and repeat procedure for all digits in the argument. After the recursive call returns you'll add digit to the previous result. The code is commented for easier understanding. The code follows:
.text
#calculates sum of digits recursively
SumDigits:
sub $sp, $sp, 12 #alloocate 12B on stack
sw $ra 0($sp) #save return address
sw $a0, 4($sp) #save argument
beq $a0, $0, exit_sumdigits #when there is no more digits return 0
rem $t0, $a0, 10 #get last digit
sw $t0, 8($sp) #save it on stack
div $a0, $a0, 10 #divide argument by 10
jal SumDigits #repeat procedure
lw $t0, 8($sp) #read digit from stack
add $v0, $v0, $t0 #add digit to previous result
lw $ra, 0($sp) #load return address
addi $sp, $sp, 12 #free stack
jr $ra #return
exit_sumdigits:
li $v0, 0 #there are no more digits, return 0
lw $ra, 0($sp) #load return address
addi $sp, $sp, 12 #free stack
jr $ra #return
main:
li $a0, 75080 #load number in $a0
jal SumDigits #call SumDigits
move $a0, $v0 #set a0 = result of SumDigits
li $v0, 1 #set $v0 for print int system call
syscall
li $v0, 10 #set $v0 for exit system call
syscall
.data