Solve 3700div26

$$3700 \div 26$$

Evaluate

$$\frac{1850}{13}\approx 142.307692308$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3700

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)3700}\\\end{array}$$

Since 3 is less than 26, use the next digit 7 from dividend 3700 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)3700}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 3700

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)3700}\\\end{array}$$

Find closest multiple of 26 to 37. We see that 1 \times 26 = 26 is the nearest. Now subtract 26 from 37 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{26)}01\phantom{4}\\26\overline{)3700}\\\phantom{26)}\underline{\phantom{}26\phantom{99}}\\\phantom{26)}11\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3700

$$\begin{array}{l}\phantom{26)}01\phantom{5}\\26\overline{)3700}\\\phantom{26)}\underline{\phantom{}26\phantom{99}}\\\phantom{26)}110\\\end{array}$$

Find closest multiple of 26 to 110. We see that 4 \times 26 = 104 is the nearest. Now subtract 104 from 110 to get reminder 6. Add 4 to quotient.

$$\begin{array}{l}\phantom{26)}014\phantom{6}\\26\overline{)3700}\\\phantom{26)}\underline{\phantom{}26\phantom{99}}\\\phantom{26)}110\\\phantom{26)}\underline{\phantom{}104\phantom{9}}\\\phantom{26)99}6\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3700

$$\begin{array}{l}\phantom{26)}014\phantom{7}\\26\overline{)3700}\\\phantom{26)}\underline{\phantom{}26\phantom{99}}\\\phantom{26)}110\\\phantom{26)}\underline{\phantom{}104\phantom{9}}\\\phantom{26)99}60\\\end{array}$$

Find closest multiple of 26 to 60. We see that 2 \times 26 = 52 is the nearest. Now subtract 52 from 60 to get reminder 8. Add 2 to quotient.

$$\begin{array}{l}\phantom{26)}0142\phantom{8}\\26\overline{)3700}\\\phantom{26)}\underline{\phantom{}26\phantom{99}}\\\phantom{26)}110\\\phantom{26)}\underline{\phantom{}104\phantom{9}}\\\phantom{26)99}60\\\phantom{26)}\underline{\phantom{99}52\phantom{}}\\\phantom{26)999}8\\\end{array}$$

Since 8 is less than 26, stop the division. The reminder is 8. The topmost line 0142 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 142.

$$\text{Quotient: }142 \text{Reminder: }8$$

Factor

$$\frac{2 \cdot 5 ^ {2} \cdot 37}{13} = 142\frac{4}{13} = 142.30769230769232$$