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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 629 · 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. 1.737421 ÷ 897 =
  2. 2.947163 ÷ 988 =
  3. 3.3625 ÷ 8 =
  4. 4.68551 ÷ 98 =
  5. 5.175451 ÷ 988 =
  6. 6.331008 ÷ 897 =
  7. 7.95570 ÷ 98 =
  8. 8.828823 ÷ 988 =
  9. 9.98282 ÷ 98 =
  10. 10.74110 ÷ 98 =
  11. 11.45078 ÷ 97 =
  12. 12.4944 ÷ 8 =
  13. 13.60722 ÷ 88 =
  14. 14.330974 ÷ 988 =
  15. 15.36115 ÷ 98 =
  16. 16.8188 ÷ 8 =
  17. 17.170327 ÷ 988 =
  18. 18.79924 ÷ 98 =
  19. 19.26148 ÷ 89 =
  20. 20.72291 ÷ 998 =
  21. 21.63589 ÷ 997 =
  22. 22.62737 ÷ 989 =
  23. 23.7072 ÷ 88 =
  24. 24.642686 ÷ 988 =
  25. 25.18656 ÷ 96 =
  26. 26.23518 ÷ 96 =
  27. 27.754361 ÷ 988 =
  28. 28.30468 ÷ 89 =
  29. 29.23539 ÷ 97 =
  30. 30.60582 ÷ 96 =
  31. 31.4803 ÷ 8 =
  32. 32.835618 ÷ 989 =
  33. 33.19152 ÷ 89 =
  34. 34.24746 ÷ 88 =
  35. 35.6407 ÷ 8 =
  36. 36.792079 ÷ 988 =
  37. 37.91812 ÷ 897 =
  38. 38.65830 ÷ 97 =
  39. 39.37460 ÷ 997 =
  40. 40.260405 ÷ 988 =

Answer key

  1. 822 rem 87
  2. 958 rem 659
  3. 453 rem 1
  4. 699 rem 49
  5. 177 rem 575
  6. 369 rem 15
  7. 975 rem 20
  8. 838 rem 879
  9. 1002 rem 86
  10. 756 rem 22
  11. 464 rem 70
  12. 618 rem 0
  13. 690 rem 2
  14. 334 rem 982
  15. 368 rem 51
  16. 1023 rem 4
  17. 172 rem 391
  18. 815 rem 54
  19. 293 rem 71
  20. 72 rem 435
  21. 63 rem 778
  22. 63 rem 430
  23. 80 rem 32
  24. 650 rem 486
  25. 194 rem 32
  26. 244 rem 94
  27. 763 rem 517
  28. 342 rem 30
  29. 242 rem 65
  30. 631 rem 6
  31. 600 rem 3
  32. 844 rem 902
  33. 215 rem 17
  34. 281 rem 18
  35. 800 rem 7
  36. 801 rem 691
  37. 102 rem 318
  38. 678 rem 64
  39. 37 rem 571
  40. 263 rem 561

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