Solve 56741div26

$$56741 \div 26$$

Evaluate

$$\frac{56741}{26}\approx 2182.346153846$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 56741

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)56741}\\\end{array}$$

Since 5 is less than 26, use the next digit 6 from dividend 56741 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)56741}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 56741

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)56741}\\\end{array}$$

Find closest multiple of 26 to 56. We see that 2 \times 26 = 52 is the nearest. Now subtract 52 from 56 to get reminder 4. Add 2 to quotient.

$$\begin{array}{l}\phantom{26)}02\phantom{4}\\26\overline{)56741}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)9}4\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 56741

$$\begin{array}{l}\phantom{26)}02\phantom{5}\\26\overline{)56741}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)9}47\\\end{array}$$

Find closest multiple of 26 to 47. We see that 1 \times 26 = 26 is the nearest. Now subtract 26 from 47 to get reminder 21. Add 1 to quotient.

$$\begin{array}{l}\phantom{26)}021\phantom{6}\\26\overline{)56741}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)9}47\\\phantom{26)}\underline{\phantom{9}26\phantom{99}}\\\phantom{26)9}21\\\end{array}$$

Use the 4^{th} digit 4 from dividend 56741

$$\begin{array}{l}\phantom{26)}021\phantom{7}\\26\overline{)56741}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)9}47\\\phantom{26)}\underline{\phantom{9}26\phantom{99}}\\\phantom{26)9}214\\\end{array}$$

Find closest multiple of 26 to 214. We see that 8 \times 26 = 208 is the nearest. Now subtract 208 from 214 to get reminder 6. Add 8 to quotient.

$$\begin{array}{l}\phantom{26)}0218\phantom{8}\\26\overline{)56741}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)9}47\\\phantom{26)}\underline{\phantom{9}26\phantom{99}}\\\phantom{26)9}214\\\phantom{26)}\underline{\phantom{9}208\phantom{9}}\\\phantom{26)999}6\\\end{array}$$

Use the 5^{th} digit 1 from dividend 56741

$$\begin{array}{l}\phantom{26)}0218\phantom{9}\\26\overline{)56741}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)9}47\\\phantom{26)}\underline{\phantom{9}26\phantom{99}}\\\phantom{26)9}214\\\phantom{26)}\underline{\phantom{9}208\phantom{9}}\\\phantom{26)999}61\\\end{array}$$

Find closest multiple of 26 to 61. We see that 2 \times 26 = 52 is the nearest. Now subtract 52 from 61 to get reminder 9. Add 2 to quotient.

$$\begin{array}{l}\phantom{26)}02182\phantom{10}\\26\overline{)56741}\\\phantom{26)}\underline{\phantom{}52\phantom{999}}\\\phantom{26)9}47\\\phantom{26)}\underline{\phantom{9}26\phantom{99}}\\\phantom{26)9}214\\\phantom{26)}\underline{\phantom{9}208\phantom{9}}\\\phantom{26)999}61\\\phantom{26)}\underline{\phantom{999}52\phantom{}}\\\phantom{26)9999}9\\\end{array}$$

Since 9 is less than 26, stop the division. The reminder is 9. The topmost line 02182 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2182.

$$\text{Quotient: }2182 \text{Reminder: }9$$

Factor

$$\frac{23 \cdot 2467}{2 \cdot 13} = 2182\frac{9}{26} = 2182.346153846154$$