$70 \longdiv{ 61,261 }$

Question

04-11-2026
Mathematics

Answered

$70 \longdiv{ 61,261 }$

Verified Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2026-11-04T16:44:58-05:00

Identify the dividend as $61,261$ and the divisor as $70$.
Perform the integer division to find the quotient: $61,261 \div 70 = 875$.
Calculate the product of the divisor and the quotient: $70 \times 875 = 61,250$.
Determine the remainder by subtracting this product from the dividend: $61,261 - 61,250 = 11$, resulting in $\boxed{875 \text{ remainder } 11}$.

Explanation

Problem Analysis and Approach

To perform the division of $61,261$ by $70$, we look for a quotient $q$ and a remainder $r$ such that $61,261 = 70 \times q + r$, where $0 \le r < 70$. The dividend is $61,261$ and the divisor is $70$. We can determine these values using long division or by calculating the integer quotient and the remainder separately.

Calculating the Quotient

First, we determine the quotient $q$ by dividing $61,261$ by $70$. The integer quotient is $875$. This means that $70$ goes into $61,261$ at least $875$ times. To find the product, we calculate:
$70 \times 875 = 61,250$.

Calculating the Remainder

Now, to find the remainder $r$, we subtract this product from the original dividend:
$r = 61,261 - 61,250 = 11$.
Since $11 < 70$, this is indeed the correct remainder. Thus, $61,261 = 70 \times 875 + 11$.

Final Answer

The result of the division $61,261 \div 70$ is a quotient of $875$ and a remainder of $11$.
The final result is $\boxed{875 \text{ remainder } 11}$.

Examples

Imagine you have a collection of $61,261$ marbles and you want to pack them into bags, each holding $70$ marbles. To find out how many full bags you can create and how many marbles will be left over, you perform division with a remainder. In this case, you would be able to pack $875$ full bags, and you would be left with $11$ individual marbles. This simple application helps with inventory management or organizing items into equal-sized groups.