Solve 25392div48

$$25392 \div 48$$

Evaluate

$$529$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 25392

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)25392}\\\end{array}$$

Since 2 is less than 48, use the next digit 5 from dividend 25392 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)25392}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 25392

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)25392}\\\end{array}$$

Since 25 is less than 48, use the next digit 3 from dividend 25392 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)25392}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 25392

$$\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)25392}\\\end{array}$$

Find closest multiple of 48 to 253. We see that 5 \times 48 = 240 is the nearest. Now subtract 240 from 253 to get reminder 13. Add 5 to quotient.

$$\begin{array}{l}\phantom{48)}005\phantom{6}\\48\overline{)25392}\\\phantom{48)}\underline{\phantom{}240\phantom{99}}\\\phantom{48)9}13\\\end{array}$$

Use the 4^{th} digit 9 from dividend 25392

$$\begin{array}{l}\phantom{48)}005\phantom{7}\\48\overline{)25392}\\\phantom{48)}\underline{\phantom{}240\phantom{99}}\\\phantom{48)9}139\\\end{array}$$

Find closest multiple of 48 to 139. We see that 2 \times 48 = 96 is the nearest. Now subtract 96 from 139 to get reminder 43. Add 2 to quotient.

$$\begin{array}{l}\phantom{48)}0052\phantom{8}\\48\overline{)25392}\\\phantom{48)}\underline{\phantom{}240\phantom{99}}\\\phantom{48)9}139\\\phantom{48)}\underline{\phantom{99}96\phantom{9}}\\\phantom{48)99}43\\\end{array}$$

Use the 5^{th} digit 2 from dividend 25392

$$\begin{array}{l}\phantom{48)}0052\phantom{9}\\48\overline{)25392}\\\phantom{48)}\underline{\phantom{}240\phantom{99}}\\\phantom{48)9}139\\\phantom{48)}\underline{\phantom{99}96\phantom{9}}\\\phantom{48)99}432\\\end{array}$$

Find closest multiple of 48 to 432. We see that 9 \times 48 = 432 is the nearest. Now subtract 432 from 432 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{48)}00529\phantom{10}\\48\overline{)25392}\\\phantom{48)}\underline{\phantom{}240\phantom{99}}\\\phantom{48)9}139\\\phantom{48)}\underline{\phantom{99}96\phantom{9}}\\\phantom{48)99}432\\\phantom{48)}\underline{\phantom{99}432\phantom{}}\\\phantom{48)99999}0\\\end{array}$$

Since 0 is less than 48, stop the division. The reminder is 0. The topmost line 00529 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 529.

$$\text{Quotient: }529 \text{Reminder: }0$$

Factor

$$23^{2}$$