Solve 1600div231

$$1600 \div 231$$

Evaluate

$$\frac{1600}{231}\approx 6.926406926$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1600

$$\begin{array}{l}\phantom{231)}\phantom{1}\\231\overline{)1600}\\\end{array}$$

Since 1 is less than 231, use the next digit 6 from dividend 1600 and add 0 to the quotient

$$\begin{array}{l}\phantom{231)}0\phantom{2}\\231\overline{)1600}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1600

$$\begin{array}{l}\phantom{231)}0\phantom{3}\\231\overline{)1600}\\\end{array}$$

Since 16 is less than 231, use the next digit 0 from dividend 1600 and add 0 to the quotient

$$\begin{array}{l}\phantom{231)}00\phantom{4}\\231\overline{)1600}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1600

$$\begin{array}{l}\phantom{231)}00\phantom{5}\\231\overline{)1600}\\\end{array}$$

Since 160 is less than 231, use the next digit 0 from dividend 1600 and add 0 to the quotient

$$\begin{array}{l}\phantom{231)}000\phantom{6}\\231\overline{)1600}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1600

$$\begin{array}{l}\phantom{231)}000\phantom{7}\\231\overline{)1600}\\\end{array}$$

Find closest multiple of 231 to 1600. We see that 6 \times 231 = 1386 is the nearest. Now subtract 1386 from 1600 to get reminder 214. Add 6 to quotient.

$$\begin{array}{l}\phantom{231)}0006\phantom{8}\\231\overline{)1600}\\\phantom{231)}\underline{\phantom{}1386\phantom{}}\\\phantom{231)9}214\\\end{array}$$

Since 214 is less than 231, stop the division. The reminder is 214. The topmost line 0006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }214$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {2}}{3 \cdot 7 \cdot 11} = 6\frac{214}{231} = 6.926406926406926$$