Solve 64125div285

$$64125 \div 285$$

Evaluate

$$225$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 64125

$$\begin{array}{l}\phantom{285)}\phantom{1}\\285\overline{)64125}\\\end{array}$$

Since 6 is less than 285, use the next digit 4 from dividend 64125 and add 0 to the quotient

$$\begin{array}{l}\phantom{285)}0\phantom{2}\\285\overline{)64125}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 64125

$$\begin{array}{l}\phantom{285)}0\phantom{3}\\285\overline{)64125}\\\end{array}$$

Since 64 is less than 285, use the next digit 1 from dividend 64125 and add 0 to the quotient

$$\begin{array}{l}\phantom{285)}00\phantom{4}\\285\overline{)64125}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 64125

$$\begin{array}{l}\phantom{285)}00\phantom{5}\\285\overline{)64125}\\\end{array}$$

Find closest multiple of 285 to 641. We see that 2 \times 285 = 570 is the nearest. Now subtract 570 from 641 to get reminder 71. Add 2 to quotient.

$$\begin{array}{l}\phantom{285)}002\phantom{6}\\285\overline{)64125}\\\phantom{285)}\underline{\phantom{}570\phantom{99}}\\\phantom{285)9}71\\\end{array}$$

Use the 4^{th} digit 2 from dividend 64125

$$\begin{array}{l}\phantom{285)}002\phantom{7}\\285\overline{)64125}\\\phantom{285)}\underline{\phantom{}570\phantom{99}}\\\phantom{285)9}712\\\end{array}$$

Find closest multiple of 285 to 712. We see that 2 \times 285 = 570 is the nearest. Now subtract 570 from 712 to get reminder 142. Add 2 to quotient.

$$\begin{array}{l}\phantom{285)}0022\phantom{8}\\285\overline{)64125}\\\phantom{285)}\underline{\phantom{}570\phantom{99}}\\\phantom{285)9}712\\\phantom{285)}\underline{\phantom{9}570\phantom{9}}\\\phantom{285)9}142\\\end{array}$$

Use the 5^{th} digit 5 from dividend 64125

$$\begin{array}{l}\phantom{285)}0022\phantom{9}\\285\overline{)64125}\\\phantom{285)}\underline{\phantom{}570\phantom{99}}\\\phantom{285)9}712\\\phantom{285)}\underline{\phantom{9}570\phantom{9}}\\\phantom{285)9}1425\\\end{array}$$

Find closest multiple of 285 to 1425. We see that 5 \times 285 = 1425 is the nearest. Now subtract 1425 from 1425 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{285)}00225\phantom{10}\\285\overline{)64125}\\\phantom{285)}\underline{\phantom{}570\phantom{99}}\\\phantom{285)9}712\\\phantom{285)}\underline{\phantom{9}570\phantom{9}}\\\phantom{285)9}1425\\\phantom{285)}\underline{\phantom{9}1425\phantom{}}\\\phantom{285)99999}0\\\end{array}$$

Since 0 is less than 285, stop the division. The reminder is 0. The topmost line 00225 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 225.

$$\text{Quotient: }225 \text{Reminder: }0$$

Factor

$$3^{2}\times 5^{2}$$