Solve 3845952/144

$$\frac { 3845952 } { 144 }$$

Evaluate

$$26708$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3845952

$$\begin{array}{l}\phantom{144)}\phantom{1}\\144\overline{)3845952}\\\end{array}$$

Since 3 is less than 144, use the next digit 8 from dividend 3845952 and add 0 to the quotient

$$\begin{array}{l}\phantom{144)}0\phantom{2}\\144\overline{)3845952}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 3845952

$$\begin{array}{l}\phantom{144)}0\phantom{3}\\144\overline{)3845952}\\\end{array}$$

Since 38 is less than 144, use the next digit 4 from dividend 3845952 and add 0 to the quotient

$$\begin{array}{l}\phantom{144)}00\phantom{4}\\144\overline{)3845952}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 3845952

$$\begin{array}{l}\phantom{144)}00\phantom{5}\\144\overline{)3845952}\\\end{array}$$

Find closest multiple of 144 to 384. We see that 2 \times 144 = 288 is the nearest. Now subtract 288 from 384 to get reminder 96. Add 2 to quotient.

$$\begin{array}{l}\phantom{144)}002\phantom{6}\\144\overline{)3845952}\\\phantom{144)}\underline{\phantom{}288\phantom{9999}}\\\phantom{144)9}96\\\end{array}$$

Use the 4^{th} digit 5 from dividend 3845952

$$\begin{array}{l}\phantom{144)}002\phantom{7}\\144\overline{)3845952}\\\phantom{144)}\underline{\phantom{}288\phantom{9999}}\\\phantom{144)9}965\\\end{array}$$

Find closest multiple of 144 to 965. We see that 6 \times 144 = 864 is the nearest. Now subtract 864 from 965 to get reminder 101. Add 6 to quotient.

$$\begin{array}{l}\phantom{144)}0026\phantom{8}\\144\overline{)3845952}\\\phantom{144)}\underline{\phantom{}288\phantom{9999}}\\\phantom{144)9}965\\\phantom{144)}\underline{\phantom{9}864\phantom{999}}\\\phantom{144)9}101\\\end{array}$$

Use the 5^{th} digit 9 from dividend 3845952

$$\begin{array}{l}\phantom{144)}0026\phantom{9}\\144\overline{)3845952}\\\phantom{144)}\underline{\phantom{}288\phantom{9999}}\\\phantom{144)9}965\\\phantom{144)}\underline{\phantom{9}864\phantom{999}}\\\phantom{144)9}1019\\\end{array}$$

Find closest multiple of 144 to 1019. We see that 7 \times 144 = 1008 is the nearest. Now subtract 1008 from 1019 to get reminder 11. Add 7 to quotient.

$$\begin{array}{l}\phantom{144)}00267\phantom{10}\\144\overline{)3845952}\\\phantom{144)}\underline{\phantom{}288\phantom{9999}}\\\phantom{144)9}965\\\phantom{144)}\underline{\phantom{9}864\phantom{999}}\\\phantom{144)9}1019\\\phantom{144)}\underline{\phantom{9}1008\phantom{99}}\\\phantom{144)999}11\\\end{array}$$

Use the 6^{th} digit 5 from dividend 3845952

$$\begin{array}{l}\phantom{144)}00267\phantom{11}\\144\overline{)3845952}\\\phantom{144)}\underline{\phantom{}288\phantom{9999}}\\\phantom{144)9}965\\\phantom{144)}\underline{\phantom{9}864\phantom{999}}\\\phantom{144)9}1019\\\phantom{144)}\underline{\phantom{9}1008\phantom{99}}\\\phantom{144)999}115\\\end{array}$$

Since 115 is less than 144, use the next digit 2 from dividend 3845952 and add 0 to the quotient

$$\begin{array}{l}\phantom{144)}002670\phantom{12}\\144\overline{)3845952}\\\phantom{144)}\underline{\phantom{}288\phantom{9999}}\\\phantom{144)9}965\\\phantom{144)}\underline{\phantom{9}864\phantom{999}}\\\phantom{144)9}1019\\\phantom{144)}\underline{\phantom{9}1008\phantom{99}}\\\phantom{144)999}115\\\end{array}$$

Use the 7^{th} digit 2 from dividend 3845952

$$\begin{array}{l}\phantom{144)}002670\phantom{13}\\144\overline{)3845952}\\\phantom{144)}\underline{\phantom{}288\phantom{9999}}\\\phantom{144)9}965\\\phantom{144)}\underline{\phantom{9}864\phantom{999}}\\\phantom{144)9}1019\\\phantom{144)}\underline{\phantom{9}1008\phantom{99}}\\\phantom{144)999}1152\\\end{array}$$

Find closest multiple of 144 to 1152. We see that 8 \times 144 = 1152 is the nearest. Now subtract 1152 from 1152 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{144)}0026708\phantom{14}\\144\overline{)3845952}\\\phantom{144)}\underline{\phantom{}288\phantom{9999}}\\\phantom{144)9}965\\\phantom{144)}\underline{\phantom{9}864\phantom{999}}\\\phantom{144)9}1019\\\phantom{144)}\underline{\phantom{9}1008\phantom{99}}\\\phantom{144)999}1152\\\phantom{144)}\underline{\phantom{999}1152\phantom{}}\\\phantom{144)9999999}0\\\end{array}$$

Since 0 is less than 144, stop the division. The reminder is 0. The topmost line 0026708 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26708.

$$\text{Quotient: }26708 \text{Reminder: }0$$

Factor

$$2^{2}\times 11\times 607$$