Solve 4192%

$$4192 \%$$

Evaluate

$$\frac{1048}{25}=41.92$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4192

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)4192}\\\end{array}$$

Since 4 is less than 100, use the next digit 1 from dividend 4192 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)4192}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 4192

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)4192}\\\end{array}$$

Since 41 is less than 100, use the next digit 9 from dividend 4192 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)4192}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 4192

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)4192}\\\end{array}$$

Find closest multiple of 100 to 419. We see that 4 \times 100 = 400 is the nearest. Now subtract 400 from 419 to get reminder 19. Add 4 to quotient.

$$\begin{array}{l}\phantom{100)}004\phantom{6}\\100\overline{)4192}\\\phantom{100)}\underline{\phantom{}400\phantom{9}}\\\phantom{100)9}19\\\end{array}$$

Use the 4^{th} digit 2 from dividend 4192

$$\begin{array}{l}\phantom{100)}004\phantom{7}\\100\overline{)4192}\\\phantom{100)}\underline{\phantom{}400\phantom{9}}\\\phantom{100)9}192\\\end{array}$$

Find closest multiple of 100 to 192. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 192 to get reminder 92. Add 1 to quotient.

$$\begin{array}{l}\phantom{100)}0041\phantom{8}\\100\overline{)4192}\\\phantom{100)}\underline{\phantom{}400\phantom{9}}\\\phantom{100)9}192\\\phantom{100)}\underline{\phantom{9}100\phantom{}}\\\phantom{100)99}92\\\end{array}$$

Since 92 is less than 100, stop the division. The reminder is 92. The topmost line 0041 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 41.

$$\text{Quotient: }41 \text{Reminder: }92$$

Factor

$$\frac{2 ^ {3} \cdot 131}{5 ^ {2}} = 41\frac{23}{25} = 41.92$$