To solve the division problem [tex]\( 59356 \div 25 \)[/tex] and find the quotient and remainder, follow these steps:
1. Interpret the problem: We are given the dividend [tex]\(59356\)[/tex] and the divisor [tex]\(25\)[/tex]. We are required to determine both the quotient and the remainder when [tex]\(59356\)[/tex] is divided by [tex]\(25\)[/tex].
2. Divide [tex]\(59356\)[/tex] by [tex]\(25\)[/tex]: By performing the division, we need to find how many times [tex]\(25\)[/tex] fits completely into [tex]\(59356\)[/tex].
3. Determine the quotient: The quotient is the result of the division when considering only the whole number part of the answer.
4. Find the remainder: The remainder is what is left over after the division when [tex]\(59356\)[/tex] is divided by [tex]\(25\)[/tex].
After carrying out the division:
- The quotient is [tex]\(2374\)[/tex].
- The remainder is [tex]\(6\)[/tex].
Thus, the division of [tex]\(59356\)[/tex] by [tex]\(25\)[/tex] results in a quotient of [tex]\(2374\)[/tex] and a remainder of [tex]\(6\)[/tex].
Therefore, the solution can be summarized as:
[tex]\[ 59356 \div 25 = 2374 \text{ remainder } 6 \][/tex]
In other words, [tex]\(59356\)[/tex] divided by [tex]\(25\)[/tex] gives [tex]\(2374\)[/tex] with a remainder of [tex]\(6\)[/tex].
