Solve 2261776:724=

$$2261776 : 724 =$$

Evaluate

$$3124$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2261776

$$\begin{array}{l}\phantom{724)}\phantom{1}\\724\overline{)2261776}\\\end{array}$$

Since 2 is less than 724, use the next digit 2 from dividend 2261776 and add 0 to the quotient

$$\begin{array}{l}\phantom{724)}0\phantom{2}\\724\overline{)2261776}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 2261776

$$\begin{array}{l}\phantom{724)}0\phantom{3}\\724\overline{)2261776}\\\end{array}$$

Since 22 is less than 724, use the next digit 6 from dividend 2261776 and add 0 to the quotient

$$\begin{array}{l}\phantom{724)}00\phantom{4}\\724\overline{)2261776}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 2261776

$$\begin{array}{l}\phantom{724)}00\phantom{5}\\724\overline{)2261776}\\\end{array}$$

Since 226 is less than 724, use the next digit 1 from dividend 2261776 and add 0 to the quotient

$$\begin{array}{l}\phantom{724)}000\phantom{6}\\724\overline{)2261776}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 2261776

$$\begin{array}{l}\phantom{724)}000\phantom{7}\\724\overline{)2261776}\\\end{array}$$

Find closest multiple of 724 to 2261. We see that 3 \times 724 = 2172 is the nearest. Now subtract 2172 from 2261 to get reminder 89. Add 3 to quotient.

$$\begin{array}{l}\phantom{724)}0003\phantom{8}\\724\overline{)2261776}\\\phantom{724)}\underline{\phantom{}2172\phantom{999}}\\\phantom{724)99}89\\\end{array}$$

Use the 5^{th} digit 7 from dividend 2261776

$$\begin{array}{l}\phantom{724)}0003\phantom{9}\\724\overline{)2261776}\\\phantom{724)}\underline{\phantom{}2172\phantom{999}}\\\phantom{724)99}897\\\end{array}$$

Find closest multiple of 724 to 897. We see that 1 \times 724 = 724 is the nearest. Now subtract 724 from 897 to get reminder 173. Add 1 to quotient.

$$\begin{array}{l}\phantom{724)}00031\phantom{10}\\724\overline{)2261776}\\\phantom{724)}\underline{\phantom{}2172\phantom{999}}\\\phantom{724)99}897\\\phantom{724)}\underline{\phantom{99}724\phantom{99}}\\\phantom{724)99}173\\\end{array}$$

Use the 6^{th} digit 7 from dividend 2261776

$$\begin{array}{l}\phantom{724)}00031\phantom{11}\\724\overline{)2261776}\\\phantom{724)}\underline{\phantom{}2172\phantom{999}}\\\phantom{724)99}897\\\phantom{724)}\underline{\phantom{99}724\phantom{99}}\\\phantom{724)99}1737\\\end{array}$$

Find closest multiple of 724 to 1737. We see that 2 \times 724 = 1448 is the nearest. Now subtract 1448 from 1737 to get reminder 289. Add 2 to quotient.

$$\begin{array}{l}\phantom{724)}000312\phantom{12}\\724\overline{)2261776}\\\phantom{724)}\underline{\phantom{}2172\phantom{999}}\\\phantom{724)99}897\\\phantom{724)}\underline{\phantom{99}724\phantom{99}}\\\phantom{724)99}1737\\\phantom{724)}\underline{\phantom{99}1448\phantom{9}}\\\phantom{724)999}289\\\end{array}$$

Use the 7^{th} digit 6 from dividend 2261776

$$\begin{array}{l}\phantom{724)}000312\phantom{13}\\724\overline{)2261776}\\\phantom{724)}\underline{\phantom{}2172\phantom{999}}\\\phantom{724)99}897\\\phantom{724)}\underline{\phantom{99}724\phantom{99}}\\\phantom{724)99}1737\\\phantom{724)}\underline{\phantom{99}1448\phantom{9}}\\\phantom{724)999}2896\\\end{array}$$

Find closest multiple of 724 to 2896. We see that 4 \times 724 = 2896 is the nearest. Now subtract 2896 from 2896 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{724)}0003124\phantom{14}\\724\overline{)2261776}\\\phantom{724)}\underline{\phantom{}2172\phantom{999}}\\\phantom{724)99}897\\\phantom{724)}\underline{\phantom{99}724\phantom{99}}\\\phantom{724)99}1737\\\phantom{724)}\underline{\phantom{99}1448\phantom{9}}\\\phantom{724)999}2896\\\phantom{724)}\underline{\phantom{999}2896\phantom{}}\\\phantom{724)9999999}0\\\end{array}$$

Since 0 is less than 724, stop the division. The reminder is 0. The topmost line 0003124 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3124.

$$\text{Quotient: }3124 \text{Reminder: }0$$

Factor

$$2^{2}\times 11\times 71$$