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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 348 · 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. 1.44935 ÷ 989 =
  2. 2.227887 ÷ 988 =
  3. 3.730537 ÷ 998 =
  4. 4.99036 ÷ 98 =
  5. 5.54526 ÷ 88 =
  6. 6.61595 ÷ 98 =
  7. 7.674466 ÷ 989 =
  8. 8.52948 ÷ 897 =
  9. 9.220620 ÷ 988 =
  10. 10.82585 ÷ 98 =
  11. 11.72296 ÷ 98 =
  12. 12.59771 ÷ 88 =
  13. 13.67828 ÷ 88 =
  14. 14.66248 ÷ 88 =
  15. 15.98472 ÷ 97 =
  16. 16.30692 ÷ 89 =
  17. 17.1716 ÷ 8 =
  18. 18.95311 ÷ 96 =
  19. 19.67914 ÷ 89 =
  20. 20.43684 ÷ 88 =
  21. 21.754074 ÷ 989 =
  22. 22.646016 ÷ 997 =
  23. 23.97022 ÷ 96 =
  24. 24.90545 ÷ 89 =
  25. 25.73752 ÷ 96 =
  26. 26.2822 ÷ 8 =
  27. 27.8366 ÷ 89 =
  28. 28.54950 ÷ 89 =
  29. 29.303327 ÷ 998 =
  30. 30.52625 ÷ 89 =
  31. 31.640467 ÷ 997 =
  32. 32.859564 ÷ 988 =
  33. 33.467834 ÷ 988 =
  34. 34.2827 ÷ 8 =
  35. 35.58628 ÷ 98 =
  36. 36.62497 ÷ 88 =
  37. 37.588345 ÷ 989 =
  38. 38.40885 ÷ 98 =
  39. 39.71476 ÷ 96 =
  40. 40.165974 ÷ 988 =

Answer key

  1. 45 rem 430
  2. 230 rem 647
  3. 732 rem 1
  4. 1010 rem 56
  5. 619 rem 54
  6. 628 rem 51
  7. 681 rem 957
  8. 59 rem 25
  9. 223 rem 296
  10. 842 rem 69
  11. 737 rem 70
  12. 679 rem 19
  13. 770 rem 68
  14. 752 rem 72
  15. 1015 rem 17
  16. 344 rem 76
  17. 214 rem 4
  18. 992 rem 79
  19. 763 rem 7
  20. 496 rem 36
  21. 762 rem 456
  22. 647 rem 957
  23. 1010 rem 62
  24. 1017 rem 32
  25. 768 rem 24
  26. 352 rem 6
  27. 94 rem 0
  28. 617 rem 37
  29. 303 rem 933
  30. 591 rem 26
  31. 642 rem 393
  32. 870 rem 4
  33. 473 rem 510
  34. 353 rem 3
  35. 598 rem 24
  36. 710 rem 17
  37. 594 rem 879
  38. 417 rem 19
  39. 744 rem 52
  40. 167 rem 978

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