Solve 2631div21

$$2631 \div 21$$

Evaluate

$$\frac{877}{7}\approx 125.285714286$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2631

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)2631}\\\end{array}$$

Since 2 is less than 21, use the next digit 6 from dividend 2631 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)2631}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 2631

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)2631}\\\end{array}$$

Find closest multiple of 21 to 26. We see that 1 \times 21 = 21 is the nearest. Now subtract 21 from 26 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{21)}01\phantom{4}\\21\overline{)2631}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}5\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 2631

$$\begin{array}{l}\phantom{21)}01\phantom{5}\\21\overline{)2631}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}53\\\end{array}$$

Find closest multiple of 21 to 53. We see that 2 \times 21 = 42 is the nearest. Now subtract 42 from 53 to get reminder 11. Add 2 to quotient.

$$\begin{array}{l}\phantom{21)}012\phantom{6}\\21\overline{)2631}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}53\\\phantom{21)}\underline{\phantom{9}42\phantom{9}}\\\phantom{21)9}11\\\end{array}$$

Use the 4^{th} digit 1 from dividend 2631

$$\begin{array}{l}\phantom{21)}012\phantom{7}\\21\overline{)2631}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}53\\\phantom{21)}\underline{\phantom{9}42\phantom{9}}\\\phantom{21)9}111\\\end{array}$$

Find closest multiple of 21 to 111. We see that 5 \times 21 = 105 is the nearest. Now subtract 105 from 111 to get reminder 6. Add 5 to quotient.

$$\begin{array}{l}\phantom{21)}0125\phantom{8}\\21\overline{)2631}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}53\\\phantom{21)}\underline{\phantom{9}42\phantom{9}}\\\phantom{21)9}111\\\phantom{21)}\underline{\phantom{9}105\phantom{}}\\\phantom{21)999}6\\\end{array}$$

Since 6 is less than 21, stop the division. The reminder is 6. The topmost line 0125 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 125.

$$\text{Quotient: }125 \text{Reminder: }6$$

Factor

$$\frac{877}{7} = 125\frac{2}{7} = 125.28571428571429$$