Solve 2025/25

$$\frac{ 2025 }{ 25 }$$

Evaluate

$$81$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2025

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)2025}\\\end{array}$$

Since 2 is less than 25, use the next digit 0 from dividend 2025 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)2025}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2025

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)2025}\\\end{array}$$

Since 20 is less than 25, use the next digit 2 from dividend 2025 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)2025}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2025

$$\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)2025}\\\end{array}$$

Find closest multiple of 25 to 202. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 202 to get reminder 2. Add 8 to quotient.

$$\begin{array}{l}\phantom{25)}008\phantom{6}\\25\overline{)2025}\\\phantom{25)}\underline{\phantom{}200\phantom{9}}\\\phantom{25)99}2\\\end{array}$$

Use the 4^{th} digit 5 from dividend 2025

$$\begin{array}{l}\phantom{25)}008\phantom{7}\\25\overline{)2025}\\\phantom{25)}\underline{\phantom{}200\phantom{9}}\\\phantom{25)99}25\\\end{array}$$

Find closest multiple of 25 to 25. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 25 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{25)}0081\phantom{8}\\25\overline{)2025}\\\phantom{25)}\underline{\phantom{}200\phantom{9}}\\\phantom{25)99}25\\\phantom{25)}\underline{\phantom{99}25\phantom{}}\\\phantom{25)9999}0\\\end{array}$$

Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 0081 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 81.

$$\text{Quotient: }81 \text{Reminder: }0$$

Factor

$$3^{4}$$