Solve 8524div32=

$$8524 \div 32 =$$

Evaluate

$$\frac{2131}{8}=266.375$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8524

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)8524}\\\end{array}$$

Since 8 is less than 32, use the next digit 5 from dividend 8524 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)8524}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 8524

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)8524}\\\end{array}$$

Find closest multiple of 32 to 85. We see that 2 \times 32 = 64 is the nearest. Now subtract 64 from 85 to get reminder 21. Add 2 to quotient.

$$\begin{array}{l}\phantom{32)}02\phantom{4}\\32\overline{)8524}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}21\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 8524

$$\begin{array}{l}\phantom{32)}02\phantom{5}\\32\overline{)8524}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}212\\\end{array}$$

Find closest multiple of 32 to 212. We see that 6 \times 32 = 192 is the nearest. Now subtract 192 from 212 to get reminder 20. Add 6 to quotient.

$$\begin{array}{l}\phantom{32)}026\phantom{6}\\32\overline{)8524}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}212\\\phantom{32)}\underline{\phantom{}192\phantom{9}}\\\phantom{32)9}20\\\end{array}$$

Use the 4^{th} digit 4 from dividend 8524

$$\begin{array}{l}\phantom{32)}026\phantom{7}\\32\overline{)8524}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}212\\\phantom{32)}\underline{\phantom{}192\phantom{9}}\\\phantom{32)9}204\\\end{array}$$

Find closest multiple of 32 to 204. We see that 6 \times 32 = 192 is the nearest. Now subtract 192 from 204 to get reminder 12. Add 6 to quotient.

$$\begin{array}{l}\phantom{32)}0266\phantom{8}\\32\overline{)8524}\\\phantom{32)}\underline{\phantom{}64\phantom{99}}\\\phantom{32)}212\\\phantom{32)}\underline{\phantom{}192\phantom{9}}\\\phantom{32)9}204\\\phantom{32)}\underline{\phantom{9}192\phantom{}}\\\phantom{32)99}12\\\end{array}$$

Since 12 is less than 32, stop the division. The reminder is 12. The topmost line 0266 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 266.

$$\text{Quotient: }266 \text{Reminder: }12$$

Factor

$$\frac{2131}{2 ^ {3}} = 266\frac{3}{8} = 266.375$$