More efficient way to output an integer in pure assembly

I'm looking to output an integer using pure assembly. I'm using nasm on a 64-bit linux machine. At the moment I'm looking for a way to output integers to debug a compiler, but I want to use the same code for writing an OS, which is also the reason I don't simply use p开发者_运维知识库rintf(). After much searching and frustration I have come up with this code

    SECTION .data
var:    db  "      ",10,0

    SECTION .text
global main
global _printc
global _printi

main:
    mov rax, 90
    push    rax
    call    _printi

    xor rbx, rbx
    mov rax, 1
    int 0x80

_printi:
    pushf
    push    rax
    push    rbx
    push    rcx
    push    rdx

    mov rax, [rsp+48]
    mov rcx, 4
.start:
    dec rcx
    xor rdx, rdx
    mov rbx, 10
    div rbx
    add rdx, 48
    mov [var+rcx], dl
    cmp rax, 0
    jne .start

    mov rax, [var]
    push    rax
    call    _printc
    pop rax

    pop rdx
    pop rcx
    pop rbx
    pop rax
    popf
    ret

_printc:
    push    rax
    push    rbx
    push    rcx
    push    rdx

    mov rax, [rsp+40]
    mov [var], rax
    mov rax, 4
    mov rbx, 1
    mov rcx, var
    mov rdx, 4
    int 0x80

    pop rdx
    pop rcx
    pop rbx
    pop rax
    ret

Note that I'll be replacing 0x80 calls with BIOS calls when porting to OS development.

My question is how to optimize, or even prettify, this code further. My first thought would be to replace pushing all the registers individually, but there isn't any 64-bit pusha instruction...

Here are some possible changes to the routine:

_printi:
    pushf
    push    rax
    push    rbx
    push    rcx
    push    rdx

    mov rax, [rsp+48]
    mov rcx, 4
    mov rbx, 10 ; --moved outside the loop
.start:
    dec rcx
    xor rdx, rdx
    div rbx
    add rdx, 48
    mov [var+rcx], dl
    cmp rax, 0
    jne .start

    ; mov rax, [var] -- not used
    ; push    rax -- not used
    call    _printc
    ; pop rax -- not used

    pop rdx
    pop rcx
    pop rbx
    pop rax
    popf
    ret

I also noted some limitations in the algorithm. If the number is larger than 9999, the code will continue to put digits outside of the allocated space, overwriting some other data. The routine is not fully reusable, i.e. if you print 123, then 9 it will come out as 129.