Solve 34914div32

$$34914 \div 32$$

Evaluate

$$\frac{17457}{16}=1091.0625$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 34914

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)34914}\\\end{array}$$

Since 3 is less than 32, use the next digit 4 from dividend 34914 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)34914}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 34914

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)34914}\\\end{array}$$

Find closest multiple of 32 to 34. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 34 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{32)}01\phantom{4}\\32\overline{)34914}\\\phantom{32)}\underline{\phantom{}32\phantom{999}}\\\phantom{32)9}2\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 34914

$$\begin{array}{l}\phantom{32)}01\phantom{5}\\32\overline{)34914}\\\phantom{32)}\underline{\phantom{}32\phantom{999}}\\\phantom{32)9}29\\\end{array}$$

Since 29 is less than 32, use the next digit 1 from dividend 34914 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}010\phantom{6}\\32\overline{)34914}\\\phantom{32)}\underline{\phantom{}32\phantom{999}}\\\phantom{32)9}29\\\end{array}$$

Use the 4^{th} digit 1 from dividend 34914

$$\begin{array}{l}\phantom{32)}010\phantom{7}\\32\overline{)34914}\\\phantom{32)}\underline{\phantom{}32\phantom{999}}\\\phantom{32)9}291\\\end{array}$$

Find closest multiple of 32 to 291. We see that 9 \times 32 = 288 is the nearest. Now subtract 288 from 291 to get reminder 3. Add 9 to quotient.

$$\begin{array}{l}\phantom{32)}0109\phantom{8}\\32\overline{)34914}\\\phantom{32)}\underline{\phantom{}32\phantom{999}}\\\phantom{32)9}291\\\phantom{32)}\underline{\phantom{9}288\phantom{9}}\\\phantom{32)999}3\\\end{array}$$

Use the 5^{th} digit 4 from dividend 34914

$$\begin{array}{l}\phantom{32)}0109\phantom{9}\\32\overline{)34914}\\\phantom{32)}\underline{\phantom{}32\phantom{999}}\\\phantom{32)9}291\\\phantom{32)}\underline{\phantom{9}288\phantom{9}}\\\phantom{32)999}34\\\end{array}$$

Find closest multiple of 32 to 34. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 34 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{32)}01091\phantom{10}\\32\overline{)34914}\\\phantom{32)}\underline{\phantom{}32\phantom{999}}\\\phantom{32)9}291\\\phantom{32)}\underline{\phantom{9}288\phantom{9}}\\\phantom{32)999}34\\\phantom{32)}\underline{\phantom{999}32\phantom{}}\\\phantom{32)9999}2\\\end{array}$$

Since 2 is less than 32, stop the division. The reminder is 2. The topmost line 01091 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1091.

$$\text{Quotient: }1091 \text{Reminder: }2$$

Factor

$$\frac{3 \cdot 11 \cdot 23 ^ {2}}{2 ^ {4}} = 1091\frac{1}{16} = 1091.0625$$