Solve 2025div32

$$2025 \div 32$$

Evaluate

$$\frac{2025}{32}=63.28125$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)2025}\\\end{array}$$

Since 2 is less than 32, use the next digit 0 from dividend 2025 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)2025}\\\end{array}$$

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

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)2025}\\\end{array}$$

Since 20 is less than 32, use the next digit 2 from dividend 2025 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}00\phantom{4}\\32\overline{)2025}\\\end{array}$$

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

$$\begin{array}{l}\phantom{32)}00\phantom{5}\\32\overline{)2025}\\\end{array}$$

Find closest multiple of 32 to 202. We see that 6 \times 32 = 192 is the nearest. Now subtract 192 from 202 to get reminder 10. Add 6 to quotient.

$$\begin{array}{l}\phantom{32)}006\phantom{6}\\32\overline{)2025}\\\phantom{32)}\underline{\phantom{}192\phantom{9}}\\\phantom{32)9}10\\\end{array}$$

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

$$\begin{array}{l}\phantom{32)}006\phantom{7}\\32\overline{)2025}\\\phantom{32)}\underline{\phantom{}192\phantom{9}}\\\phantom{32)9}105\\\end{array}$$

Find closest multiple of 32 to 105. We see that 3 \times 32 = 96 is the nearest. Now subtract 96 from 105 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{32)}0063\phantom{8}\\32\overline{)2025}\\\phantom{32)}\underline{\phantom{}192\phantom{9}}\\\phantom{32)9}105\\\phantom{32)}\underline{\phantom{99}96\phantom{}}\\\phantom{32)999}9\\\end{array}$$

Since 9 is less than 32, stop the division. The reminder is 9. The topmost line 0063 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 63.

$$\text{Quotient: }63 \text{Reminder: }9$$

Factor

$$\frac{3 ^ {4} \cdot 5 ^ {2}}{2 ^ {5}} = 63\frac{9}{32} = 63.28125$$