Solve 7845div32=

$$7845 \div 32=$$

Evaluate

$$\frac{7845}{32}=245.15625$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7845

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)7845}\\\end{array}$$

Since 7 is less than 32, use the next digit 8 from dividend 7845 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)7845}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 7845

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)7845}\\\end{array}$$

Find closest multiple of 32 to 78. We see that 2 \times 32 = 64 is the nearest. Now subtract 64 from 78 to get reminder 14. Add 2 to quotient.

$$\begin{array}{l}\phantom{32)}02\phantom{4}\\32\overline{)7845}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}14\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 7845

$$\begin{array}{l}\phantom{32)}02\phantom{5}\\32\overline{)7845}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}144\\\end{array}$$

Find closest multiple of 32 to 144. We see that 4 \times 32 = 128 is the nearest. Now subtract 128 from 144 to get reminder 16. Add 4 to quotient.

$$\begin{array}{l}\phantom{32)}024\phantom{6}\\32\overline{)7845}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}144\\\phantom{32)}\underline{\phantom{}128\phantom{9}}\\\phantom{32)9}16\\\end{array}$$

Use the 4^{th} digit 5 from dividend 7845

$$\begin{array}{l}\phantom{32)}024\phantom{7}\\32\overline{)7845}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}144\\\phantom{32)}\underline{\phantom{}128\phantom{9}}\\\phantom{32)9}165\\\end{array}$$

Find closest multiple of 32 to 165. We see that 5 \times 32 = 160 is the nearest. Now subtract 160 from 165 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{32)}0245\phantom{8}\\32\overline{)7845}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}144\\\phantom{32)}\underline{\phantom{}128\phantom{9}}\\\phantom{32)9}165\\\phantom{32)}\underline{\phantom{9}160\phantom{}}\\\phantom{32)999}5\\\end{array}$$

Since 5 is less than 32, stop the division. The reminder is 5. The topmost line 0245 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 245.

$$\text{Quotient: }245 \text{Reminder: }5$$

Factor

$$\frac{3 \cdot 5 \cdot 523}{2 ^ {5}} = 245\frac{5}{32} = 245.15625$$