Solve 10,062div26

$$10,062 \div 26$$

Evaluate

$$387$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10062

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)10062}\\\end{array}$$

Since 1 is less than 26, use the next digit 0 from dividend 10062 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)10062}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10062

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)10062}\\\end{array}$$

Since 10 is less than 26, use the next digit 0 from dividend 10062 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}00\phantom{4}\\26\overline{)10062}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10062

$$\begin{array}{l}\phantom{26)}00\phantom{5}\\26\overline{)10062}\\\end{array}$$

Find closest multiple of 26 to 100. We see that 3 \times 26 = 78 is the nearest. Now subtract 78 from 100 to get reminder 22. Add 3 to quotient.

$$\begin{array}{l}\phantom{26)}003\phantom{6}\\26\overline{)10062}\\\phantom{26)}\underline{\phantom{9}78\phantom{99}}\\\phantom{26)9}22\\\end{array}$$

Use the 4^{th} digit 6 from dividend 10062

$$\begin{array}{l}\phantom{26)}003\phantom{7}\\26\overline{)10062}\\\phantom{26)}\underline{\phantom{9}78\phantom{99}}\\\phantom{26)9}226\\\end{array}$$

Find closest multiple of 26 to 226. We see that 8 \times 26 = 208 is the nearest. Now subtract 208 from 226 to get reminder 18. Add 8 to quotient.

$$\begin{array}{l}\phantom{26)}0038\phantom{8}\\26\overline{)10062}\\\phantom{26)}\underline{\phantom{9}78\phantom{99}}\\\phantom{26)9}226\\\phantom{26)}\underline{\phantom{9}208\phantom{9}}\\\phantom{26)99}18\\\end{array}$$

Use the 5^{th} digit 2 from dividend 10062

$$\begin{array}{l}\phantom{26)}0038\phantom{9}\\26\overline{)10062}\\\phantom{26)}\underline{\phantom{9}78\phantom{99}}\\\phantom{26)9}226\\\phantom{26)}\underline{\phantom{9}208\phantom{9}}\\\phantom{26)99}182\\\end{array}$$

Find closest multiple of 26 to 182. We see that 7 \times 26 = 182 is the nearest. Now subtract 182 from 182 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{26)}00387\phantom{10}\\26\overline{)10062}\\\phantom{26)}\underline{\phantom{9}78\phantom{99}}\\\phantom{26)9}226\\\phantom{26)}\underline{\phantom{9}208\phantom{9}}\\\phantom{26)99}182\\\phantom{26)}\underline{\phantom{99}182\phantom{}}\\\phantom{26)99999}0\\\end{array}$$

Since 0 is less than 26, stop the division. The reminder is 0. The topmost line 00387 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 387.

$$\text{Quotient: }387 \text{Reminder: }0$$

Factor

$$3^{2}\times 43$$