Solve 2025div21

$$2025 \div 21$$

Evaluate

$$\frac{675}{7}\approx 96.428571429$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)2025}\\\end{array}$$

Since 2 is less than 21, use the next digit 0 from dividend 2025 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)2025}\\\end{array}$$

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

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)2025}\\\end{array}$$

Since 20 is less than 21, use the next digit 2 from dividend 2025 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}00\phantom{4}\\21\overline{)2025}\\\end{array}$$

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

$$\begin{array}{l}\phantom{21)}00\phantom{5}\\21\overline{)2025}\\\end{array}$$

Find closest multiple of 21 to 202. We see that 9 \times 21 = 189 is the nearest. Now subtract 189 from 202 to get reminder 13. Add 9 to quotient.

$$\begin{array}{l}\phantom{21)}009\phantom{6}\\21\overline{)2025}\\\phantom{21)}\underline{\phantom{}189\phantom{9}}\\\phantom{21)9}13\\\end{array}$$

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

$$\begin{array}{l}\phantom{21)}009\phantom{7}\\21\overline{)2025}\\\phantom{21)}\underline{\phantom{}189\phantom{9}}\\\phantom{21)9}135\\\end{array}$$

Find closest multiple of 21 to 135. We see that 6 \times 21 = 126 is the nearest. Now subtract 126 from 135 to get reminder 9. Add 6 to quotient.

$$\begin{array}{l}\phantom{21)}0096\phantom{8}\\21\overline{)2025}\\\phantom{21)}\underline{\phantom{}189\phantom{9}}\\\phantom{21)9}135\\\phantom{21)}\underline{\phantom{9}126\phantom{}}\\\phantom{21)999}9\\\end{array}$$

Since 9 is less than 21, stop the division. The reminder is 9. The topmost line 0096 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 96.

$$\text{Quotient: }96 \text{Reminder: }9$$

Factor

$$\frac{3 ^ {3} \cdot 5 ^ {2}}{7} = 96\frac{3}{7} = 96.42857142857143$$