Solve 8448/15

$$\frac { 8448 } { 15 }$$

Evaluate

$$\frac{2816}{5}=563.2$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8448

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)8448}\\\end{array}$$

Since 8 is less than 15, use the next digit 4 from dividend 8448 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)8448}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 8448

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)8448}\\\end{array}$$

Find closest multiple of 15 to 84. We see that 5 \times 15 = 75 is the nearest. Now subtract 75 from 84 to get reminder 9. Add 5 to quotient.

$$\begin{array}{l}\phantom{15)}05\phantom{4}\\15\overline{)8448}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)9}9\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 8448

$$\begin{array}{l}\phantom{15)}05\phantom{5}\\15\overline{)8448}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)9}94\\\end{array}$$

Find closest multiple of 15 to 94. We see that 6 \times 15 = 90 is the nearest. Now subtract 90 from 94 to get reminder 4. Add 6 to quotient.

$$\begin{array}{l}\phantom{15)}056\phantom{6}\\15\overline{)8448}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)9}94\\\phantom{15)}\underline{\phantom{9}90\phantom{9}}\\\phantom{15)99}4\\\end{array}$$

Use the 4^{th} digit 8 from dividend 8448

$$\begin{array}{l}\phantom{15)}056\phantom{7}\\15\overline{)8448}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)9}94\\\phantom{15)}\underline{\phantom{9}90\phantom{9}}\\\phantom{15)99}48\\\end{array}$$

Find closest multiple of 15 to 48. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 48 to get reminder 3. Add 3 to quotient.

$$\begin{array}{l}\phantom{15)}0563\phantom{8}\\15\overline{)8448}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)9}94\\\phantom{15)}\underline{\phantom{9}90\phantom{9}}\\\phantom{15)99}48\\\phantom{15)}\underline{\phantom{99}45\phantom{}}\\\phantom{15)999}3\\\end{array}$$

Since 3 is less than 15, stop the division. The reminder is 3. The topmost line 0563 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 563.

$$\text{Quotient: }563 \text{Reminder: }3$$

Factor

$$\frac{2 ^ {8} \cdot 11}{5} = 563\frac{1}{5} = 563.2$$