Solve 3950/91

$$\frac { 3950 } { 91 }$$

Evaluate

$$\frac{3950}{91}\approx 43.406593407$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3950

$$\begin{array}{l}\phantom{91)}\phantom{1}\\91\overline{)3950}\\\end{array}$$

Since 3 is less than 91, use the next digit 9 from dividend 3950 and add 0 to the quotient

$$\begin{array}{l}\phantom{91)}0\phantom{2}\\91\overline{)3950}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 3950

$$\begin{array}{l}\phantom{91)}0\phantom{3}\\91\overline{)3950}\\\end{array}$$

Since 39 is less than 91, use the next digit 5 from dividend 3950 and add 0 to the quotient

$$\begin{array}{l}\phantom{91)}00\phantom{4}\\91\overline{)3950}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3950

$$\begin{array}{l}\phantom{91)}00\phantom{5}\\91\overline{)3950}\\\end{array}$$

Find closest multiple of 91 to 395. We see that 4 \times 91 = 364 is the nearest. Now subtract 364 from 395 to get reminder 31. Add 4 to quotient.

$$\begin{array}{l}\phantom{91)}004\phantom{6}\\91\overline{)3950}\\\phantom{91)}\underline{\phantom{}364\phantom{9}}\\\phantom{91)9}31\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3950

$$\begin{array}{l}\phantom{91)}004\phantom{7}\\91\overline{)3950}\\\phantom{91)}\underline{\phantom{}364\phantom{9}}\\\phantom{91)9}310\\\end{array}$$

Find closest multiple of 91 to 310. We see that 3 \times 91 = 273 is the nearest. Now subtract 273 from 310 to get reminder 37. Add 3 to quotient.

$$\begin{array}{l}\phantom{91)}0043\phantom{8}\\91\overline{)3950}\\\phantom{91)}\underline{\phantom{}364\phantom{9}}\\\phantom{91)9}310\\\phantom{91)}\underline{\phantom{9}273\phantom{}}\\\phantom{91)99}37\\\end{array}$$

Since 37 is less than 91, stop the division. The reminder is 37. The topmost line 0043 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 43.

$$\text{Quotient: }43 \text{Reminder: }37$$

Factor

$$\frac{2 \cdot 5 ^ {2} \cdot 79}{7 \cdot 13} = 43\frac{37}{91} = 43.40659340659341$$