Solve 7896div32

$$7896 \div 32$$

Evaluate

$$\frac{987}{4}=246.75$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7896

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)7896}\\\end{array}$$

Since 7 is less than 32, use the next digit 8 from dividend 7896 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)7896}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 7896

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)7896}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{32)}02\phantom{4}\\32\overline{)7896}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}14\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 7896

$$\begin{array}{l}\phantom{32)}02\phantom{5}\\32\overline{)7896}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}149\\\end{array}$$

Find closest multiple of 32 to 149. We see that 4 \times 32 = 128 is the nearest. Now subtract 128 from 149 to get reminder 21. Add 4 to quotient.

$$\begin{array}{l}\phantom{32)}024\phantom{6}\\32\overline{)7896}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}149\\\phantom{32)}\underline{\phantom{}128\phantom{9}}\\\phantom{32)9}21\\\end{array}$$

Use the 4^{th} digit 6 from dividend 7896

$$\begin{array}{l}\phantom{32)}024\phantom{7}\\32\overline{)7896}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}149\\\phantom{32)}\underline{\phantom{}128\phantom{9}}\\\phantom{32)9}216\\\end{array}$$

Find closest multiple of 32 to 216. We see that 6 \times 32 = 192 is the nearest. Now subtract 192 from 216 to get reminder 24. Add 6 to quotient.

$$\begin{array}{l}\phantom{32)}0246\phantom{8}\\32\overline{)7896}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}149\\\phantom{32)}\underline{\phantom{}128\phantom{9}}\\\phantom{32)9}216\\\phantom{32)}\underline{\phantom{9}192\phantom{}}\\\phantom{32)99}24\\\end{array}$$

Since 24 is less than 32, stop the division. The reminder is 24. The topmost line 0246 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 246.

$$\text{Quotient: }246 \text{Reminder: }24$$

Factor

$$\frac{3 \cdot 7 \cdot 47}{2 ^ {2}} = 246\frac{3}{4} = 246.75$$