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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 221 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.791393 ÷ 989 =
  2. 2.44003 ÷ 96 =
  3. 3.507044 ÷ 998 =
  4. 4.946538 ÷ 997 =
  5. 5.2124 ÷ 98 =
  6. 6.7314 ÷ 97 =
  7. 7.578848 ÷ 897 =
  8. 8.68066 ÷ 98 =
  9. 9.74657 ÷ 88 =
  10. 10.6354 ÷ 8 =
  11. 11.90325 ÷ 988 =
  12. 12.8385 ÷ 8 =
  13. 13.504835 ÷ 989 =
  14. 14.78320 ÷ 97 =
  15. 15.259646 ÷ 897 =
  16. 16.19976 ÷ 97 =
  17. 17.601703 ÷ 997 =
  18. 18.86834 ÷ 989 =
  19. 19.2640 ÷ 8 =
  20. 20.791091 ÷ 998 =
  21. 21.44784 ÷ 88 =
  22. 22.453322 ÷ 989 =
  23. 23.80855 ÷ 89 =
  24. 24.740147 ÷ 998 =
  25. 25.63229 ÷ 96 =
  26. 26.11035 ÷ 96 =
  27. 27.79050 ÷ 89 =
  28. 28.166959 ÷ 897 =
  29. 29.231458 ÷ 897 =
  30. 30.61333 ÷ 88 =
  31. 31.83096 ÷ 89 =
  32. 32.71250 ÷ 96 =
  33. 33.52953 ÷ 97 =
  34. 34.664031 ÷ 997 =
  35. 35.52024 ÷ 96 =
  36. 36.91793 ÷ 98 =
  37. 37.68057 ÷ 88 =
  38. 38.93546 ÷ 97 =
  39. 39.327073 ÷ 989 =
  40. 40.7423 ÷ 8 =

Answer key

  1. 800 rem 193
  2. 458 rem 35
  3. 508 rem 60
  4. 949 rem 385
  5. 21 rem 66
  6. 75 rem 39
  7. 645 rem 283
  8. 694 rem 54
  9. 848 rem 33
  10. 794 rem 2
  11. 91 rem 417
  12. 1048 rem 1
  13. 510 rem 445
  14. 807 rem 41
  15. 289 rem 413
  16. 205 rem 91
  17. 603 rem 512
  18. 87 rem 791
  19. 330 rem 0
  20. 792 rem 675
  21. 508 rem 80
  22. 458 rem 360
  23. 908 rem 43
  24. 741 rem 629
  25. 658 rem 61
  26. 114 rem 91
  27. 888 rem 18
  28. 186 rem 117
  29. 258 rem 32
  30. 696 rem 85
  31. 933 rem 59
  32. 742 rem 18
  33. 545 rem 88
  34. 666 rem 29
  35. 541 rem 88
  36. 936 rem 65
  37. 773 rem 33
  38. 964 rem 38
  39. 330 rem 703
  40. 927 rem 7

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