$T$ is the smallest positive multiple of 14 whose digits are all 1s and 0s.  What is the quotient when $T$ is divided by 14?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
$T$ is the smallest positive multiple of 14 whose digits are all 1s and 0s.  What is the quotient when $T$ is divided by 14?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
715
$T$ is the smallest positive multiple of 14 whose digits are all 1s and 0s.  What is the quotient when $T$ is divided by 14?
train