Solve 9,225/25

$$\frac { 9,225 } { 25 }$$

Evaluate

$$369$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9225

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)9225}\\\end{array}$$

Since 9 is less than 25, use the next digit 2 from dividend 9225 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)9225}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 9225

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)9225}\\\end{array}$$

Find closest multiple of 25 to 92. We see that 3 \times 25 = 75 is the nearest. Now subtract 75 from 92 to get reminder 17. Add 3 to quotient.

$$\begin{array}{l}\phantom{25)}03\phantom{4}\\25\overline{)9225}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}17\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 9225

$$\begin{array}{l}\phantom{25)}03\phantom{5}\\25\overline{)9225}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}172\\\end{array}$$

Find closest multiple of 25 to 172. We see that 6 \times 25 = 150 is the nearest. Now subtract 150 from 172 to get reminder 22. Add 6 to quotient.

$$\begin{array}{l}\phantom{25)}036\phantom{6}\\25\overline{)9225}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}172\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}22\\\end{array}$$

Use the 4^{th} digit 5 from dividend 9225

$$\begin{array}{l}\phantom{25)}036\phantom{7}\\25\overline{)9225}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}172\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}225\\\end{array}$$

Find closest multiple of 25 to 225. We see that 9 \times 25 = 225 is the nearest. Now subtract 225 from 225 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{25)}0369\phantom{8}\\25\overline{)9225}\\\phantom{25)}\underline{\phantom{}75\phantom{99}}\\\phantom{25)}172\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}225\\\phantom{25)}\underline{\phantom{9}225\phantom{}}\\\phantom{25)9999}0\\\end{array}$$

Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 0369 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 369.

$$\text{Quotient: }369 \text{Reminder: }0$$

Factor

$$3^{2}\times 41$$