Solve 6,231/25

$$\frac { 6,231 } { 25 }$$

Evaluate

$$\frac{6231}{25}=249.24$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6231

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)6231}\\\end{array}$$

Since 6 is less than 25, use the next digit 2 from dividend 6231 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)6231}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 6231

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)6231}\\\end{array}$$

Find closest multiple of 25 to 62. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 62 to get reminder 12. Add 2 to quotient.

$$\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)6231}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}12\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 6231

$$\begin{array}{l}\phantom{25)}02\phantom{5}\\25\overline{)6231}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}123\\\end{array}$$

Find closest multiple of 25 to 123. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 123 to get reminder 23. Add 4 to quotient.

$$\begin{array}{l}\phantom{25)}024\phantom{6}\\25\overline{)6231}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}123\\\phantom{25)}\underline{\phantom{}100\phantom{9}}\\\phantom{25)9}23\\\end{array}$$

Use the 4^{th} digit 1 from dividend 6231

$$\begin{array}{l}\phantom{25)}024\phantom{7}\\25\overline{)6231}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}123\\\phantom{25)}\underline{\phantom{}100\phantom{9}}\\\phantom{25)9}231\\\end{array}$$

Find closest multiple of 25 to 231. We see that 9 \times 25 = 225 is the nearest. Now subtract 225 from 231 to get reminder 6. Add 9 to quotient.

$$\begin{array}{l}\phantom{25)}0249\phantom{8}\\25\overline{)6231}\\\phantom{25)}\underline{\phantom{}50\phantom{99}}\\\phantom{25)}123\\\phantom{25)}\underline{\phantom{}100\phantom{9}}\\\phantom{25)9}231\\\phantom{25)}\underline{\phantom{9}225\phantom{}}\\\phantom{25)999}6\\\end{array}$$

Since 6 is less than 25, stop the division. The reminder is 6. The topmost line 0249 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 249.

$$\text{Quotient: }249 \text{Reminder: }6$$

Factor

$$\frac{3 \cdot 31 \cdot 67}{5 ^ {2}} = 249\frac{6}{25} = 249.24$$