The phrase "a number when divided successively by 4 and ..." seems to refer to a math problem where a number is divided in order by certain divisors, with remainders and quotients involved. One common interpretation is a question where a number is successively divided by 4, then by other numbers with certain remainders left after each division. To clarify the context and provide a precise mathematical explanation or solution, could the question be if a number is divided successively by 4 and 5 (or others), what are the resulting remainders or quotient relationships? Based on common problems of this nature: If a number xxx is first divided by 4, and then the quotient is divided by the next divisor, the relationship follows the form:
x=4p+r1x=4p+r_1x=4p+r1
where ppp is the quotient and r1r_1r1 is the remainder on dividing by 4. Then if ppp is divided by the next divisor, say 5, to give:
p=5q+r2p=5q+r_2p=5q+r2
and so forth. Please provide the full problem or the next details (e.g., divisors, remainders) for a complete and exact explanation.