Solve 8870\div25 | Equatix

Question

$$8870 \div 25$$

Evaluate

$\frac{1774}{5}=354.8$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $8870$

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)8870}\\\end{array}$$

Since $8$ is less than $25$, use the next digit $8$ from dividend $8870$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)8870}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $8870$

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)8870}\\\end{array}$$

Find closest multiple of $25$ to $88$. We see that $3 \times 25 = 75$ is the nearest. Now subtract $75$ from $88$ to get reminder $13$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{25)}03\phantom{4}\\25\overline{)8870}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}13\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $8870$

$$\begin{array}{l}\phantom{25)}03\phantom{5}\\25\overline{)8870}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}137\\\end{array}$$

Find closest multiple of $25$ to $137$. We see that $5 \times 25 = 125$ is the nearest. Now subtract $125$ from $137$ to get reminder $12$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{25)}035\phantom{6}\\25\overline{)8870}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}137\\\phantom{25)}\underline{\phantom{}125\phantom{9}}\\\phantom{25)9}12\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $8870$

$$\begin{array}{l}\phantom{25)}035\phantom{7}\\25\overline{)8870}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}137\\\phantom{25)}\underline{\phantom{}125\phantom{9}}\\\phantom{25)9}120\\\end{array}$$

Find closest multiple of $25$ to $120$. We see that $4 \times 25 = 100$ is the nearest. Now subtract $100$ from $120$ to get reminder $20$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{25)}0354\phantom{8}\\25\overline{)8870}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}137\\\phantom{25)}\underline{\phantom{}125\phantom{9}}\\\phantom{25)9}120\\\phantom{25)}\underline{\phantom{9}100\phantom{}}\\\phantom{25)99}20\\\end{array}$$

Since $20$ is less than $25$, stop the division. The reminder is $20$. The topmost line $0354$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $354$.

$$\text{Quotient: }354$$ $$\text{Reminder: }20$$

Show Solution

Factor

$\frac{2 \cdot 887}{5} = 354\frac{4}{5} = 354.8$

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Steps For Long Division Method

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