Solve 2059/128

$$\frac{ 2059 }{ 128 }$$

Evaluate

$$\frac{2059}{128}=16.0859375$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2059

$$\begin{array}{l}\phantom{128)}\phantom{1}\\128\overline{)2059}\\\end{array}$$

Since 2 is less than 128, use the next digit 0 from dividend 2059 and add 0 to the quotient

$$\begin{array}{l}\phantom{128)}0\phantom{2}\\128\overline{)2059}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2059

$$\begin{array}{l}\phantom{128)}0\phantom{3}\\128\overline{)2059}\\\end{array}$$

Since 20 is less than 128, use the next digit 5 from dividend 2059 and add 0 to the quotient

$$\begin{array}{l}\phantom{128)}00\phantom{4}\\128\overline{)2059}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 2059

$$\begin{array}{l}\phantom{128)}00\phantom{5}\\128\overline{)2059}\\\end{array}$$

Find closest multiple of 128 to 205. We see that 1 \times 128 = 128 is the nearest. Now subtract 128 from 205 to get reminder 77. Add 1 to quotient.

$$\begin{array}{l}\phantom{128)}001\phantom{6}\\128\overline{)2059}\\\phantom{128)}\underline{\phantom{}128\phantom{9}}\\\phantom{128)9}77\\\end{array}$$

Use the 4^{th} digit 9 from dividend 2059

$$\begin{array}{l}\phantom{128)}001\phantom{7}\\128\overline{)2059}\\\phantom{128)}\underline{\phantom{}128\phantom{9}}\\\phantom{128)9}779\\\end{array}$$

Find closest multiple of 128 to 779. We see that 6 \times 128 = 768 is the nearest. Now subtract 768 from 779 to get reminder 11. Add 6 to quotient.

$$\begin{array}{l}\phantom{128)}0016\phantom{8}\\128\overline{)2059}\\\phantom{128)}\underline{\phantom{}128\phantom{9}}\\\phantom{128)9}779\\\phantom{128)}\underline{\phantom{9}768\phantom{}}\\\phantom{128)99}11\\\end{array}$$

Since 11 is less than 128, stop the division. The reminder is 11. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.

$$\text{Quotient: }16 \text{Reminder: }11$$

Factor

$$\frac{29 \cdot 71}{2 ^ {7}} = 16\frac{11}{128} = 16.0859375$$