Solve 466616/646

$$\frac{ 466616 }{ 646 }$$

Evaluate

$$\frac{13724}{19}\approx 722.315789474$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 466616

$$\begin{array}{l}\phantom{646)}\phantom{1}\\646\overline{)466616}\\\end{array}$$

Since 4 is less than 646, use the next digit 6 from dividend 466616 and add 0 to the quotient

$$\begin{array}{l}\phantom{646)}0\phantom{2}\\646\overline{)466616}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 466616

$$\begin{array}{l}\phantom{646)}0\phantom{3}\\646\overline{)466616}\\\end{array}$$

Since 46 is less than 646, use the next digit 6 from dividend 466616 and add 0 to the quotient

$$\begin{array}{l}\phantom{646)}00\phantom{4}\\646\overline{)466616}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 466616

$$\begin{array}{l}\phantom{646)}00\phantom{5}\\646\overline{)466616}\\\end{array}$$

Since 466 is less than 646, use the next digit 6 from dividend 466616 and add 0 to the quotient

$$\begin{array}{l}\phantom{646)}000\phantom{6}\\646\overline{)466616}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 466616

$$\begin{array}{l}\phantom{646)}000\phantom{7}\\646\overline{)466616}\\\end{array}$$

Find closest multiple of 646 to 4666. We see that 7 \times 646 = 4522 is the nearest. Now subtract 4522 from 4666 to get reminder 144. Add 7 to quotient.

$$\begin{array}{l}\phantom{646)}0007\phantom{8}\\646\overline{)466616}\\\phantom{646)}\underline{\phantom{}4522\phantom{99}}\\\phantom{646)9}144\\\end{array}$$

Use the 5^{th} digit 1 from dividend 466616

$$\begin{array}{l}\phantom{646)}0007\phantom{9}\\646\overline{)466616}\\\phantom{646)}\underline{\phantom{}4522\phantom{99}}\\\phantom{646)9}1441\\\end{array}$$

Find closest multiple of 646 to 1441. We see that 2 \times 646 = 1292 is the nearest. Now subtract 1292 from 1441 to get reminder 149. Add 2 to quotient.

$$\begin{array}{l}\phantom{646)}00072\phantom{10}\\646\overline{)466616}\\\phantom{646)}\underline{\phantom{}4522\phantom{99}}\\\phantom{646)9}1441\\\phantom{646)}\underline{\phantom{9}1292\phantom{9}}\\\phantom{646)99}149\\\end{array}$$

Use the 6^{th} digit 6 from dividend 466616

$$\begin{array}{l}\phantom{646)}00072\phantom{11}\\646\overline{)466616}\\\phantom{646)}\underline{\phantom{}4522\phantom{99}}\\\phantom{646)9}1441\\\phantom{646)}\underline{\phantom{9}1292\phantom{9}}\\\phantom{646)99}1496\\\end{array}$$

Find closest multiple of 646 to 1496. We see that 2 \times 646 = 1292 is the nearest. Now subtract 1292 from 1496 to get reminder 204. Add 2 to quotient.

$$\begin{array}{l}\phantom{646)}000722\phantom{12}\\646\overline{)466616}\\\phantom{646)}\underline{\phantom{}4522\phantom{99}}\\\phantom{646)9}1441\\\phantom{646)}\underline{\phantom{9}1292\phantom{9}}\\\phantom{646)99}1496\\\phantom{646)}\underline{\phantom{99}1292\phantom{}}\\\phantom{646)999}204\\\end{array}$$

Since 204 is less than 646, stop the division. The reminder is 204. The topmost line 000722 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 722.

$$\text{Quotient: }722 \text{Reminder: }204$$

Factor

$$\frac{2 ^ {2} \cdot 47 \cdot 73}{19} = 722\frac{6}{19} = 722.3157894736842$$