Solve 30015/87

$$\frac{ 30015 }{ 87 }$$

Evaluate

$$345$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 30015

$$\begin{array}{l}\phantom{87)}\phantom{1}\\87\overline{)30015}\\\end{array}$$

Since 3 is less than 87, use the next digit 0 from dividend 30015 and add 0 to the quotient

$$\begin{array}{l}\phantom{87)}0\phantom{2}\\87\overline{)30015}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 30015

$$\begin{array}{l}\phantom{87)}0\phantom{3}\\87\overline{)30015}\\\end{array}$$

Since 30 is less than 87, use the next digit 0 from dividend 30015 and add 0 to the quotient

$$\begin{array}{l}\phantom{87)}00\phantom{4}\\87\overline{)30015}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 30015

$$\begin{array}{l}\phantom{87)}00\phantom{5}\\87\overline{)30015}\\\end{array}$$

Find closest multiple of 87 to 300. We see that 3 \times 87 = 261 is the nearest. Now subtract 261 from 300 to get reminder 39. Add 3 to quotient.

$$\begin{array}{l}\phantom{87)}003\phantom{6}\\87\overline{)30015}\\\phantom{87)}\underline{\phantom{}261\phantom{99}}\\\phantom{87)9}39\\\end{array}$$

Use the 4^{th} digit 1 from dividend 30015

$$\begin{array}{l}\phantom{87)}003\phantom{7}\\87\overline{)30015}\\\phantom{87)}\underline{\phantom{}261\phantom{99}}\\\phantom{87)9}391\\\end{array}$$

Find closest multiple of 87 to 391. We see that 4 \times 87 = 348 is the nearest. Now subtract 348 from 391 to get reminder 43. Add 4 to quotient.

$$\begin{array}{l}\phantom{87)}0034\phantom{8}\\87\overline{)30015}\\\phantom{87)}\underline{\phantom{}261\phantom{99}}\\\phantom{87)9}391\\\phantom{87)}\underline{\phantom{9}348\phantom{9}}\\\phantom{87)99}43\\\end{array}$$

Use the 5^{th} digit 5 from dividend 30015

$$\begin{array}{l}\phantom{87)}0034\phantom{9}\\87\overline{)30015}\\\phantom{87)}\underline{\phantom{}261\phantom{99}}\\\phantom{87)9}391\\\phantom{87)}\underline{\phantom{9}348\phantom{9}}\\\phantom{87)99}435\\\end{array}$$

Find closest multiple of 87 to 435. We see that 5 \times 87 = 435 is the nearest. Now subtract 435 from 435 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{87)}00345\phantom{10}\\87\overline{)30015}\\\phantom{87)}\underline{\phantom{}261\phantom{99}}\\\phantom{87)9}391\\\phantom{87)}\underline{\phantom{9}348\phantom{9}}\\\phantom{87)99}435\\\phantom{87)}\underline{\phantom{99}435\phantom{}}\\\phantom{87)99999}0\\\end{array}$$

Since 0 is less than 87, stop the division. The reminder is 0. The topmost line 00345 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 345.

$$\text{Quotient: }345 \text{Reminder: }0$$

Factor

$$3\times 5\times 23$$