Solve 12780/128

$$\frac { 12780 } { 128 }$$

Evaluate

$$\frac{3195}{32}=99.84375$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12780

$$\begin{array}{l}\phantom{128)}\phantom{1}\\128\overline{)12780}\\\end{array}$$

Since 1 is less than 128, use the next digit 2 from dividend 12780 and add 0 to the quotient

$$\begin{array}{l}\phantom{128)}0\phantom{2}\\128\overline{)12780}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12780

$$\begin{array}{l}\phantom{128)}0\phantom{3}\\128\overline{)12780}\\\end{array}$$

Since 12 is less than 128, use the next digit 7 from dividend 12780 and add 0 to the quotient

$$\begin{array}{l}\phantom{128)}00\phantom{4}\\128\overline{)12780}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 12780

$$\begin{array}{l}\phantom{128)}00\phantom{5}\\128\overline{)12780}\\\end{array}$$

Since 127 is less than 128, use the next digit 8 from dividend 12780 and add 0 to the quotient

$$\begin{array}{l}\phantom{128)}000\phantom{6}\\128\overline{)12780}\\\end{array}$$

Use the 4^{th} digit 8 from dividend 12780

$$\begin{array}{l}\phantom{128)}000\phantom{7}\\128\overline{)12780}\\\end{array}$$

Find closest multiple of 128 to 1278. We see that 9 \times 128 = 1152 is the nearest. Now subtract 1152 from 1278 to get reminder 126. Add 9 to quotient.

$$\begin{array}{l}\phantom{128)}0009\phantom{8}\\128\overline{)12780}\\\phantom{128)}\underline{\phantom{}1152\phantom{9}}\\\phantom{128)9}126\\\end{array}$$

Use the 5^{th} digit 0 from dividend 12780

$$\begin{array}{l}\phantom{128)}0009\phantom{9}\\128\overline{)12780}\\\phantom{128)}\underline{\phantom{}1152\phantom{9}}\\\phantom{128)9}1260\\\end{array}$$

Find closest multiple of 128 to 1260. We see that 9 \times 128 = 1152 is the nearest. Now subtract 1152 from 1260 to get reminder 108. Add 9 to quotient.

$$\begin{array}{l}\phantom{128)}00099\phantom{10}\\128\overline{)12780}\\\phantom{128)}\underline{\phantom{}1152\phantom{9}}\\\phantom{128)9}1260\\\phantom{128)}\underline{\phantom{9}1152\phantom{}}\\\phantom{128)99}108\\\end{array}$$

Since 108 is less than 128, stop the division. The reminder is 108. The topmost line 00099 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 99.

$$\text{Quotient: }99 \text{Reminder: }108$$

Factor

$$\frac{3 ^ {2} \cdot 5 \cdot 71}{2 ^ {5}} = 99\frac{27}{32} = 99.84375$$