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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 284 · 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. 1.36711 ÷ 998 =
  2. 2.351607 ÷ 989 =
  3. 3.32005 ÷ 88 =
  4. 4.889334 ÷ 989 =
  5. 5.46937 ÷ 96 =
  6. 6.269303 ÷ 989 =
  7. 7.626563 ÷ 997 =
  8. 8.4570 ÷ 8 =
  9. 9.980628 ÷ 988 =
  10. 10.73708 ÷ 98 =
  11. 11.739290 ÷ 988 =
  12. 12.4526 ÷ 96 =
  13. 13.132214 ÷ 998 =
  14. 14.24955 ÷ 89 =
  15. 15.66668 ÷ 89 =
  16. 16.35842 ÷ 88 =
  17. 17.405479 ÷ 988 =
  18. 18.5242 ÷ 97 =
  19. 19.53886 ÷ 98 =
  20. 20.74950 ÷ 97 =
  21. 21.196222 ÷ 989 =
  22. 22.89001 ÷ 98 =
  23. 23.791389 ÷ 988 =
  24. 24.41278 ÷ 97 =
  25. 25.1446 ÷ 89 =
  26. 26.82621 ÷ 89 =
  27. 27.19190 ÷ 88 =
  28. 28.327780 ÷ 997 =
  29. 29.686620 ÷ 897 =
  30. 30.603677 ÷ 988 =
  31. 31.520513 ÷ 988 =
  32. 32.387879 ÷ 988 =
  33. 33.220351 ÷ 989 =
  34. 34.50226 ÷ 988 =
  35. 35.21665 ÷ 97 =
  36. 36.7366 ÷ 8 =
  37. 37.980363 ÷ 997 =
  38. 38.230430 ÷ 897 =
  39. 39.80765 ÷ 88 =
  40. 40.734810 ÷ 997 =

Answer key

  1. 36 rem 783
  2. 355 rem 512
  3. 363 rem 61
  4. 899 rem 223
  5. 488 rem 89
  6. 272 rem 295
  7. 628 rem 447
  8. 571 rem 2
  9. 992 rem 532
  10. 752 rem 12
  11. 748 rem 266
  12. 47 rem 14
  13. 132 rem 478
  14. 280 rem 35
  15. 749 rem 7
  16. 407 rem 26
  17. 410 rem 399
  18. 54 rem 4
  19. 549 rem 84
  20. 772 rem 66
  21. 198 rem 400
  22. 908 rem 17
  23. 801 rem 1
  24. 425 rem 53
  25. 16 rem 22
  26. 928 rem 29
  27. 218 rem 6
  28. 328 rem 764
  29. 765 rem 415
  30. 611 rem 9
  31. 526 rem 825
  32. 392 rem 583
  33. 222 rem 793
  34. 50 rem 826
  35. 223 rem 34
  36. 920 rem 6
  37. 983 rem 312
  38. 256 rem 798
  39. 917 rem 69
  40. 737 rem 21

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