Solve 2154/152

$$2154 / 152$$

Evaluate

$$\frac{1077}{76}\approx 14.171052632$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2154

$$\begin{array}{l}\phantom{152)}\phantom{1}\\152\overline{)2154}\\\end{array}$$

Since 2 is less than 152, use the next digit 1 from dividend 2154 and add 0 to the quotient

$$\begin{array}{l}\phantom{152)}0\phantom{2}\\152\overline{)2154}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2154

$$\begin{array}{l}\phantom{152)}0\phantom{3}\\152\overline{)2154}\\\end{array}$$

Since 21 is less than 152, use the next digit 5 from dividend 2154 and add 0 to the quotient

$$\begin{array}{l}\phantom{152)}00\phantom{4}\\152\overline{)2154}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 2154

$$\begin{array}{l}\phantom{152)}00\phantom{5}\\152\overline{)2154}\\\end{array}$$

Find closest multiple of 152 to 215. We see that 1 \times 152 = 152 is the nearest. Now subtract 152 from 215 to get reminder 63. Add 1 to quotient.

$$\begin{array}{l}\phantom{152)}001\phantom{6}\\152\overline{)2154}\\\phantom{152)}\underline{\phantom{}152\phantom{9}}\\\phantom{152)9}63\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2154

$$\begin{array}{l}\phantom{152)}001\phantom{7}\\152\overline{)2154}\\\phantom{152)}\underline{\phantom{}152\phantom{9}}\\\phantom{152)9}634\\\end{array}$$

Find closest multiple of 152 to 634. We see that 4 \times 152 = 608 is the nearest. Now subtract 608 from 634 to get reminder 26. Add 4 to quotient.

$$\begin{array}{l}\phantom{152)}0014\phantom{8}\\152\overline{)2154}\\\phantom{152)}\underline{\phantom{}152\phantom{9}}\\\phantom{152)9}634\\\phantom{152)}\underline{\phantom{9}608\phantom{}}\\\phantom{152)99}26\\\end{array}$$

Since 26 is less than 152, stop the division. The reminder is 26. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }26$$

Factor

$$\frac{3 \cdot 359}{2 ^ {2} \cdot 19} = 14\frac{13}{76} = 14.171052631578947$$