Solve 250000div512

$$250000 \div 512$$

Evaluate

$$\frac{15625}{32}=488.28125$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 250000

$$\begin{array}{l}\phantom{512)}\phantom{1}\\512\overline{)250000}\\\end{array}$$

Since 2 is less than 512, use the next digit 5 from dividend 250000 and add 0 to the quotient

$$\begin{array}{l}\phantom{512)}0\phantom{2}\\512\overline{)250000}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 250000

$$\begin{array}{l}\phantom{512)}0\phantom{3}\\512\overline{)250000}\\\end{array}$$

Since 25 is less than 512, use the next digit 0 from dividend 250000 and add 0 to the quotient

$$\begin{array}{l}\phantom{512)}00\phantom{4}\\512\overline{)250000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 250000

$$\begin{array}{l}\phantom{512)}00\phantom{5}\\512\overline{)250000}\\\end{array}$$

Since 250 is less than 512, use the next digit 0 from dividend 250000 and add 0 to the quotient

$$\begin{array}{l}\phantom{512)}000\phantom{6}\\512\overline{)250000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 250000

$$\begin{array}{l}\phantom{512)}000\phantom{7}\\512\overline{)250000}\\\end{array}$$

Find closest multiple of 512 to 2500. We see that 4 \times 512 = 2048 is the nearest. Now subtract 2048 from 2500 to get reminder 452. Add 4 to quotient.

$$\begin{array}{l}\phantom{512)}0004\phantom{8}\\512\overline{)250000}\\\phantom{512)}\underline{\phantom{}2048\phantom{99}}\\\phantom{512)9}452\\\end{array}$$

Use the 5^{th} digit 0 from dividend 250000

$$\begin{array}{l}\phantom{512)}0004\phantom{9}\\512\overline{)250000}\\\phantom{512)}\underline{\phantom{}2048\phantom{99}}\\\phantom{512)9}4520\\\end{array}$$

Find closest multiple of 512 to 4520. We see that 8 \times 512 = 4096 is the nearest. Now subtract 4096 from 4520 to get reminder 424. Add 8 to quotient.

$$\begin{array}{l}\phantom{512)}00048\phantom{10}\\512\overline{)250000}\\\phantom{512)}\underline{\phantom{}2048\phantom{99}}\\\phantom{512)9}4520\\\phantom{512)}\underline{\phantom{9}4096\phantom{9}}\\\phantom{512)99}424\\\end{array}$$

Use the 6^{th} digit 0 from dividend 250000

$$\begin{array}{l}\phantom{512)}00048\phantom{11}\\512\overline{)250000}\\\phantom{512)}\underline{\phantom{}2048\phantom{99}}\\\phantom{512)9}4520\\\phantom{512)}\underline{\phantom{9}4096\phantom{9}}\\\phantom{512)99}4240\\\end{array}$$

Find closest multiple of 512 to 4240. We see that 8 \times 512 = 4096 is the nearest. Now subtract 4096 from 4240 to get reminder 144. Add 8 to quotient.

$$\begin{array}{l}\phantom{512)}000488\phantom{12}\\512\overline{)250000}\\\phantom{512)}\underline{\phantom{}2048\phantom{99}}\\\phantom{512)9}4520\\\phantom{512)}\underline{\phantom{9}4096\phantom{9}}\\\phantom{512)99}4240\\\phantom{512)}\underline{\phantom{99}4096\phantom{}}\\\phantom{512)999}144\\\end{array}$$

Since 144 is less than 512, stop the division. The reminder is 144. The topmost line 000488 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 488.

$$\text{Quotient: }488 \text{Reminder: }144$$

Factor

$$\frac{5 ^ {6}}{2 ^ {5}} = 488\frac{9}{32} = 488.28125$$