Solve 1235520div720

$$1235520 \div 720$$

Evaluate

$$1716$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1235520

$$\begin{array}{l}\phantom{720)}\phantom{1}\\720\overline{)1235520}\\\end{array}$$

Since 1 is less than 720, use the next digit 2 from dividend 1235520 and add 0 to the quotient

$$\begin{array}{l}\phantom{720)}0\phantom{2}\\720\overline{)1235520}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1235520

$$\begin{array}{l}\phantom{720)}0\phantom{3}\\720\overline{)1235520}\\\end{array}$$

Since 12 is less than 720, use the next digit 3 from dividend 1235520 and add 0 to the quotient

$$\begin{array}{l}\phantom{720)}00\phantom{4}\\720\overline{)1235520}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1235520

$$\begin{array}{l}\phantom{720)}00\phantom{5}\\720\overline{)1235520}\\\end{array}$$

Since 123 is less than 720, use the next digit 5 from dividend 1235520 and add 0 to the quotient

$$\begin{array}{l}\phantom{720)}000\phantom{6}\\720\overline{)1235520}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1235520

$$\begin{array}{l}\phantom{720)}000\phantom{7}\\720\overline{)1235520}\\\end{array}$$

Find closest multiple of 720 to 1235. We see that 1 \times 720 = 720 is the nearest. Now subtract 720 from 1235 to get reminder 515. Add 1 to quotient.

$$\begin{array}{l}\phantom{720)}0001\phantom{8}\\720\overline{)1235520}\\\phantom{720)}\underline{\phantom{9}720\phantom{999}}\\\phantom{720)9}515\\\end{array}$$

Use the 5^{th} digit 5 from dividend 1235520

$$\begin{array}{l}\phantom{720)}0001\phantom{9}\\720\overline{)1235520}\\\phantom{720)}\underline{\phantom{9}720\phantom{999}}\\\phantom{720)9}5155\\\end{array}$$

Find closest multiple of 720 to 5155. We see that 7 \times 720 = 5040 is the nearest. Now subtract 5040 from 5155 to get reminder 115. Add 7 to quotient.

$$\begin{array}{l}\phantom{720)}00017\phantom{10}\\720\overline{)1235520}\\\phantom{720)}\underline{\phantom{9}720\phantom{999}}\\\phantom{720)9}5155\\\phantom{720)}\underline{\phantom{9}5040\phantom{99}}\\\phantom{720)99}115\\\end{array}$$

Use the 6^{th} digit 2 from dividend 1235520

$$\begin{array}{l}\phantom{720)}00017\phantom{11}\\720\overline{)1235520}\\\phantom{720)}\underline{\phantom{9}720\phantom{999}}\\\phantom{720)9}5155\\\phantom{720)}\underline{\phantom{9}5040\phantom{99}}\\\phantom{720)99}1152\\\end{array}$$

Find closest multiple of 720 to 1152. We see that 1 \times 720 = 720 is the nearest. Now subtract 720 from 1152 to get reminder 432. Add 1 to quotient.

$$\begin{array}{l}\phantom{720)}000171\phantom{12}\\720\overline{)1235520}\\\phantom{720)}\underline{\phantom{9}720\phantom{999}}\\\phantom{720)9}5155\\\phantom{720)}\underline{\phantom{9}5040\phantom{99}}\\\phantom{720)99}1152\\\phantom{720)}\underline{\phantom{999}720\phantom{9}}\\\phantom{720)999}432\\\end{array}$$

Use the 7^{th} digit 0 from dividend 1235520

$$\begin{array}{l}\phantom{720)}000171\phantom{13}\\720\overline{)1235520}\\\phantom{720)}\underline{\phantom{9}720\phantom{999}}\\\phantom{720)9}5155\\\phantom{720)}\underline{\phantom{9}5040\phantom{99}}\\\phantom{720)99}1152\\\phantom{720)}\underline{\phantom{999}720\phantom{9}}\\\phantom{720)999}4320\\\end{array}$$

Find closest multiple of 720 to 4320. We see that 6 \times 720 = 4320 is the nearest. Now subtract 4320 from 4320 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{720)}0001716\phantom{14}\\720\overline{)1235520}\\\phantom{720)}\underline{\phantom{9}720\phantom{999}}\\\phantom{720)9}5155\\\phantom{720)}\underline{\phantom{9}5040\phantom{99}}\\\phantom{720)99}1152\\\phantom{720)}\underline{\phantom{999}720\phantom{9}}\\\phantom{720)999}4320\\\phantom{720)}\underline{\phantom{999}4320\phantom{}}\\\phantom{720)9999999}0\\\end{array}$$

Since 0 is less than 720, stop the division. The reminder is 0. The topmost line 0001716 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1716.

$$\text{Quotient: }1716 \text{Reminder: }0$$

Factor

$$2^{2}\times 3\times 11\times 13$$