Solve 3824/36

$$\frac { 3824 } { 36 }$$

Evaluate

$$\frac{956}{9}\approx 106.222222222$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3824

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)3824}\\\end{array}$$

Since 3 is less than 36, use the next digit 8 from dividend 3824 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)3824}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 3824

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)3824}\\\end{array}$$

Find closest multiple of 36 to 38. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 38 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)3824}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)9}2\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 3824

$$\begin{array}{l}\phantom{36)}01\phantom{5}\\36\overline{)3824}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)9}22\\\end{array}$$

Since 22 is less than 36, use the next digit 4 from dividend 3824 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}010\phantom{6}\\36\overline{)3824}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)9}22\\\end{array}$$

Use the 4^{th} digit 4 from dividend 3824

$$\begin{array}{l}\phantom{36)}010\phantom{7}\\36\overline{)3824}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)9}224\\\end{array}$$

Find closest multiple of 36 to 224. We see that 6 \times 36 = 216 is the nearest. Now subtract 216 from 224 to get reminder 8. Add 6 to quotient.

$$\begin{array}{l}\phantom{36)}0106\phantom{8}\\36\overline{)3824}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)9}224\\\phantom{36)}\underline{\phantom{9}216\phantom{}}\\\phantom{36)999}8\\\end{array}$$

Since 8 is less than 36, stop the division. The reminder is 8. The topmost line 0106 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 106.

$$\text{Quotient: }106 \text{Reminder: }8$$

Factor

$$\frac{2 ^ {2} \cdot 239}{3 ^ {2}} = 106\frac{2}{9} = 106.22222222222223$$