Solve 508032div2016

$$508032 \div 2016$$

Evaluate

$$252$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 508032

$$\begin{array}{l}\phantom{2016)}\phantom{1}\\2016\overline{)508032}\\\end{array}$$

Since 5 is less than 2016, use the next digit 0 from dividend 508032 and add 0 to the quotient

$$\begin{array}{l}\phantom{2016)}0\phantom{2}\\2016\overline{)508032}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 508032

$$\begin{array}{l}\phantom{2016)}0\phantom{3}\\2016\overline{)508032}\\\end{array}$$

Since 50 is less than 2016, use the next digit 8 from dividend 508032 and add 0 to the quotient

$$\begin{array}{l}\phantom{2016)}00\phantom{4}\\2016\overline{)508032}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 508032

$$\begin{array}{l}\phantom{2016)}00\phantom{5}\\2016\overline{)508032}\\\end{array}$$

Since 508 is less than 2016, use the next digit 0 from dividend 508032 and add 0 to the quotient

$$\begin{array}{l}\phantom{2016)}000\phantom{6}\\2016\overline{)508032}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 508032

$$\begin{array}{l}\phantom{2016)}000\phantom{7}\\2016\overline{)508032}\\\end{array}$$

Find closest multiple of 2016 to 5080. We see that 2 \times 2016 = 4032 is the nearest. Now subtract 4032 from 5080 to get reminder 1048. Add 2 to quotient.

$$\begin{array}{l}\phantom{2016)}0002\phantom{8}\\2016\overline{)508032}\\\phantom{2016)}\underline{\phantom{}4032\phantom{99}}\\\phantom{2016)}1048\\\end{array}$$

Use the 5^{th} digit 3 from dividend 508032

$$\begin{array}{l}\phantom{2016)}0002\phantom{9}\\2016\overline{)508032}\\\phantom{2016)}\underline{\phantom{}4032\phantom{99}}\\\phantom{2016)}10483\\\end{array}$$

Find closest multiple of 2016 to 10483. We see that 5 \times 2016 = 10080 is the nearest. Now subtract 10080 from 10483 to get reminder 403. Add 5 to quotient.

$$\begin{array}{l}\phantom{2016)}00025\phantom{10}\\2016\overline{)508032}\\\phantom{2016)}\underline{\phantom{}4032\phantom{99}}\\\phantom{2016)}10483\\\phantom{2016)}\underline{\phantom{}10080\phantom{9}}\\\phantom{2016)99}403\\\end{array}$$

Use the 6^{th} digit 2 from dividend 508032

$$\begin{array}{l}\phantom{2016)}00025\phantom{11}\\2016\overline{)508032}\\\phantom{2016)}\underline{\phantom{}4032\phantom{99}}\\\phantom{2016)}10483\\\phantom{2016)}\underline{\phantom{}10080\phantom{9}}\\\phantom{2016)99}4032\\\end{array}$$

Find closest multiple of 2016 to 4032. We see that 2 \times 2016 = 4032 is the nearest. Now subtract 4032 from 4032 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{2016)}000252\phantom{12}\\2016\overline{)508032}\\\phantom{2016)}\underline{\phantom{}4032\phantom{99}}\\\phantom{2016)}10483\\\phantom{2016)}\underline{\phantom{}10080\phantom{9}}\\\phantom{2016)99}4032\\\phantom{2016)}\underline{\phantom{99}4032\phantom{}}\\\phantom{2016)999999}0\\\end{array}$$

Since 0 is less than 2016, stop the division. The reminder is 0. The topmost line 000252 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 252.

$$\text{Quotient: }252 \text{Reminder: }0$$

Factor

$$2^{2}\times 3^{2}\times 7$$