Solve 20125div1024

$$20125 \div 1024$$

Evaluate

$$\frac{20125}{1024}\approx 19.653320312$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 20125

$$\begin{array}{l}\phantom{1024)}\phantom{1}\\1024\overline{)20125}\\\end{array}$$

Since 2 is less than 1024, use the next digit 0 from dividend 20125 and add 0 to the quotient

$$\begin{array}{l}\phantom{1024)}0\phantom{2}\\1024\overline{)20125}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 20125

$$\begin{array}{l}\phantom{1024)}0\phantom{3}\\1024\overline{)20125}\\\end{array}$$

Since 20 is less than 1024, use the next digit 1 from dividend 20125 and add 0 to the quotient

$$\begin{array}{l}\phantom{1024)}00\phantom{4}\\1024\overline{)20125}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 20125

$$\begin{array}{l}\phantom{1024)}00\phantom{5}\\1024\overline{)20125}\\\end{array}$$

Since 201 is less than 1024, use the next digit 2 from dividend 20125 and add 0 to the quotient

$$\begin{array}{l}\phantom{1024)}000\phantom{6}\\1024\overline{)20125}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 20125

$$\begin{array}{l}\phantom{1024)}000\phantom{7}\\1024\overline{)20125}\\\end{array}$$

Find closest multiple of 1024 to 2012. We see that 1 \times 1024 = 1024 is the nearest. Now subtract 1024 from 2012 to get reminder 988. Add 1 to quotient.

$$\begin{array}{l}\phantom{1024)}0001\phantom{8}\\1024\overline{)20125}\\\phantom{1024)}\underline{\phantom{}1024\phantom{9}}\\\phantom{1024)9}988\\\end{array}$$

Use the 5^{th} digit 5 from dividend 20125

$$\begin{array}{l}\phantom{1024)}0001\phantom{9}\\1024\overline{)20125}\\\phantom{1024)}\underline{\phantom{}1024\phantom{9}}\\\phantom{1024)9}9885\\\end{array}$$

Find closest multiple of 1024 to 9885. We see that 9 \times 1024 = 9216 is the nearest. Now subtract 9216 from 9885 to get reminder 669. Add 9 to quotient.

$$\begin{array}{l}\phantom{1024)}00019\phantom{10}\\1024\overline{)20125}\\\phantom{1024)}\underline{\phantom{}1024\phantom{9}}\\\phantom{1024)9}9885\\\phantom{1024)}\underline{\phantom{9}9216\phantom{}}\\\phantom{1024)99}669\\\end{array}$$

Since 669 is less than 1024, stop the division. The reminder is 669. The topmost line 00019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.

$$\text{Quotient: }19 \text{Reminder: }669$$

Factor

$$\frac{5 ^ {3} \cdot 7 \cdot 23}{2 ^ {10}} = 19\frac{669}{1024} = 19.6533203125$$