Solve 2,526/35

$$\frac { 2,526 } { 35 }$$

Evaluate

$$\frac{2526}{35}\approx 72.171428571$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2526

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)2526}\\\end{array}$$

Since 2 is less than 35, use the next digit 5 from dividend 2526 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)2526}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 2526

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)2526}\\\end{array}$$

Since 25 is less than 35, use the next digit 2 from dividend 2526 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)2526}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2526

$$\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)2526}\\\end{array}$$

Find closest multiple of 35 to 252. We see that 7 \times 35 = 245 is the nearest. Now subtract 245 from 252 to get reminder 7. Add 7 to quotient.

$$\begin{array}{l}\phantom{35)}007\phantom{6}\\35\overline{)2526}\\\phantom{35)}\underline{\phantom{}245\phantom{9}}\\\phantom{35)99}7\\\end{array}$$

Use the 4^{th} digit 6 from dividend 2526

$$\begin{array}{l}\phantom{35)}007\phantom{7}\\35\overline{)2526}\\\phantom{35)}\underline{\phantom{}245\phantom{9}}\\\phantom{35)99}76\\\end{array}$$

Find closest multiple of 35 to 76. We see that 2 \times 35 = 70 is the nearest. Now subtract 70 from 76 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{35)}0072\phantom{8}\\35\overline{)2526}\\\phantom{35)}\underline{\phantom{}245\phantom{9}}\\\phantom{35)99}76\\\phantom{35)}\underline{\phantom{99}70\phantom{}}\\\phantom{35)999}6\\\end{array}$$

Since 6 is less than 35, stop the division. The reminder is 6. The topmost line 0072 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 72.

$$\text{Quotient: }72 \text{Reminder: }6$$

Factor

$$\frac{2 \cdot 3 \cdot 421}{5 \cdot 7} = 72\frac{6}{35} = 72.17142857142858$$