Solve 71710div4640

$$71710 \div 4640$$

Evaluate

$$\frac{7171}{464}\approx 15.454741379$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 71710

$$\begin{array}{l}\phantom{4640)}\phantom{1}\\4640\overline{)71710}\\\end{array}$$

Since 7 is less than 4640, use the next digit 1 from dividend 71710 and add 0 to the quotient

$$\begin{array}{l}\phantom{4640)}0\phantom{2}\\4640\overline{)71710}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 71710

$$\begin{array}{l}\phantom{4640)}0\phantom{3}\\4640\overline{)71710}\\\end{array}$$

Since 71 is less than 4640, use the next digit 7 from dividend 71710 and add 0 to the quotient

$$\begin{array}{l}\phantom{4640)}00\phantom{4}\\4640\overline{)71710}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 71710

$$\begin{array}{l}\phantom{4640)}00\phantom{5}\\4640\overline{)71710}\\\end{array}$$

Since 717 is less than 4640, use the next digit 1 from dividend 71710 and add 0 to the quotient

$$\begin{array}{l}\phantom{4640)}000\phantom{6}\\4640\overline{)71710}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 71710

$$\begin{array}{l}\phantom{4640)}000\phantom{7}\\4640\overline{)71710}\\\end{array}$$

Find closest multiple of 4640 to 7171. We see that 1 \times 4640 = 4640 is the nearest. Now subtract 4640 from 7171 to get reminder 2531. Add 1 to quotient.

$$\begin{array}{l}\phantom{4640)}0001\phantom{8}\\4640\overline{)71710}\\\phantom{4640)}\underline{\phantom{}4640\phantom{9}}\\\phantom{4640)}2531\\\end{array}$$

Use the 5^{th} digit 0 from dividend 71710

$$\begin{array}{l}\phantom{4640)}0001\phantom{9}\\4640\overline{)71710}\\\phantom{4640)}\underline{\phantom{}4640\phantom{9}}\\\phantom{4640)}25310\\\end{array}$$

Find closest multiple of 4640 to 25310. We see that 5 \times 4640 = 23200 is the nearest. Now subtract 23200 from 25310 to get reminder 2110. Add 5 to quotient.

$$\begin{array}{l}\phantom{4640)}00015\phantom{10}\\4640\overline{)71710}\\\phantom{4640)}\underline{\phantom{}4640\phantom{9}}\\\phantom{4640)}25310\\\phantom{4640)}\underline{\phantom{}23200\phantom{}}\\\phantom{4640)9}2110\\\end{array}$$

Since 2110 is less than 4640, stop the division. The reminder is 2110. The topmost line 00015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }2110$$

Factor

$$\frac{71 \cdot 101}{2 ^ {4} \cdot 29} = 15\frac{211}{464} = 15.454741379310345$$