Solve 943:13

$$943 : 13$$

Evaluate

$$\frac{943}{13}\approx 72.538461538$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 943

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)943}\\\end{array}$$

Since 9 is less than 13, use the next digit 4 from dividend 943 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)943}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 943

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)943}\\\end{array}$$

Find closest multiple of 13 to 94. We see that 7 \times 13 = 91 is the nearest. Now subtract 91 from 94 to get reminder 3. Add 7 to quotient.

$$\begin{array}{l}\phantom{13)}07\phantom{4}\\13\overline{)943}\\\phantom{13)}\underline{\phantom{}91\phantom{9}}\\\phantom{13)9}3\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 943

$$\begin{array}{l}\phantom{13)}07\phantom{5}\\13\overline{)943}\\\phantom{13)}\underline{\phantom{}91\phantom{9}}\\\phantom{13)9}33\\\end{array}$$

Find closest multiple of 13 to 33. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 33 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}072\phantom{6}\\13\overline{)943}\\\phantom{13)}\underline{\phantom{}91\phantom{9}}\\\phantom{13)9}33\\\phantom{13)}\underline{\phantom{9}26\phantom{}}\\\phantom{13)99}7\\\end{array}$$

Since 7 is less than 13, stop the division. The reminder is 7. The topmost line 072 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 72.

$$\text{Quotient: }72 \text{Reminder: }7$$

Factor

$$\frac{23 \cdot 41}{13} = 72\frac{7}{13} = 72.53846153846153$$