Solve 1681/16

$$\frac { 1681 } { 16 }$$

Evaluate

$$\frac{1681}{16}=105.0625$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1681

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)1681}\\\end{array}$$

Since 1 is less than 16, use the next digit 6 from dividend 1681 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)1681}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1681

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)1681}\\\end{array}$$

Find closest multiple of 16 to 16. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 16 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)1681}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)99}0\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 1681

$$\begin{array}{l}\phantom{16)}01\phantom{5}\\16\overline{)1681}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)99}8\\\end{array}$$

Since 8 is less than 16, use the next digit 1 from dividend 1681 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}010\phantom{6}\\16\overline{)1681}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)99}8\\\end{array}$$

Use the 4^{th} digit 1 from dividend 1681

$$\begin{array}{l}\phantom{16)}010\phantom{7}\\16\overline{)1681}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)99}81\\\end{array}$$

Find closest multiple of 16 to 81. We see that 5 \times 16 = 80 is the nearest. Now subtract 80 from 81 to get reminder 1. Add 5 to quotient.

$$\begin{array}{l}\phantom{16)}0105\phantom{8}\\16\overline{)1681}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)99}81\\\phantom{16)}\underline{\phantom{99}80\phantom{}}\\\phantom{16)999}1\\\end{array}$$

Since 1 is less than 16, stop the division. The reminder is 1. The topmost line 0105 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 105.

$$\text{Quotient: }105 \text{Reminder: }1$$

Factor

$$\frac{41 ^ {2}}{2 ^ {4}} = 105\frac{1}{16} = 105.0625$$