Solve 57000div1024

$$57000 \div 1024$$

Evaluate

$$\frac{7125}{128}=55.6640625$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 57000

$$\begin{array}{l}\phantom{1024)}\phantom{1}\\1024\overline{)57000}\\\end{array}$$

Since 5 is less than 1024, use the next digit 7 from dividend 57000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1024)}0\phantom{2}\\1024\overline{)57000}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 57000

$$\begin{array}{l}\phantom{1024)}0\phantom{3}\\1024\overline{)57000}\\\end{array}$$

Since 57 is less than 1024, use the next digit 0 from dividend 57000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1024)}00\phantom{4}\\1024\overline{)57000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 57000

$$\begin{array}{l}\phantom{1024)}00\phantom{5}\\1024\overline{)57000}\\\end{array}$$

Since 570 is less than 1024, use the next digit 0 from dividend 57000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1024)}000\phantom{6}\\1024\overline{)57000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 57000

$$\begin{array}{l}\phantom{1024)}000\phantom{7}\\1024\overline{)57000}\\\end{array}$$

Find closest multiple of 1024 to 5700. We see that 5 \times 1024 = 5120 is the nearest. Now subtract 5120 from 5700 to get reminder 580. Add 5 to quotient.

$$\begin{array}{l}\phantom{1024)}0005\phantom{8}\\1024\overline{)57000}\\\phantom{1024)}\underline{\phantom{}5120\phantom{9}}\\\phantom{1024)9}580\\\end{array}$$

Use the 5^{th} digit 0 from dividend 57000

$$\begin{array}{l}\phantom{1024)}0005\phantom{9}\\1024\overline{)57000}\\\phantom{1024)}\underline{\phantom{}5120\phantom{9}}\\\phantom{1024)9}5800\\\end{array}$$

Find closest multiple of 1024 to 5800. We see that 5 \times 1024 = 5120 is the nearest. Now subtract 5120 from 5800 to get reminder 680. Add 5 to quotient.

$$\begin{array}{l}\phantom{1024)}00055\phantom{10}\\1024\overline{)57000}\\\phantom{1024)}\underline{\phantom{}5120\phantom{9}}\\\phantom{1024)9}5800\\\phantom{1024)}\underline{\phantom{9}5120\phantom{}}\\\phantom{1024)99}680\\\end{array}$$

Since 680 is less than 1024, stop the division. The reminder is 680. The topmost line 00055 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 55.

$$\text{Quotient: }55 \text{Reminder: }680$$

Factor

$$\frac{3 \cdot 5 ^ {3} \cdot 19}{2 ^ {7}} = 55\frac{85}{128} = 55.6640625$$