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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 416 · 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. 1.26420 ÷ 89 =
  2. 2.2433 ÷ 8 =
  3. 3.650588 ÷ 998 =
  4. 4.80093 ÷ 96 =
  5. 5.601297 ÷ 998 =
  6. 6.735908 ÷ 989 =
  7. 7.835353 ÷ 988 =
  8. 8.1507 ÷ 8 =
  9. 9.32142 ÷ 97 =
  10. 10.53584 ÷ 89 =
  11. 11.71735 ÷ 98 =
  12. 12.184934 ÷ 988 =
  13. 13.473147 ÷ 897 =
  14. 14.734785 ÷ 997 =
  15. 15.34526 ÷ 88 =
  16. 16.61455 ÷ 89 =
  17. 17.635901 ÷ 897 =
  18. 18.881 ÷ 8 =
  19. 19.970480 ÷ 989 =
  20. 20.56016 ÷ 96 =
  21. 21.36029 ÷ 97 =
  22. 22.150154 ÷ 988 =
  23. 23.38901 ÷ 98 =
  24. 24.30479 ÷ 89 =
  25. 25.24026 ÷ 89 =
  26. 26.473014 ÷ 988 =
  27. 27.63351 ÷ 98 =
  28. 28.67387 ÷ 98 =
  29. 29.10467 ÷ 88 =
  30. 30.762431 ÷ 998 =
  31. 31.81557 ÷ 897 =
  32. 32.116217 ÷ 897 =
  33. 33.5163 ÷ 98 =
  34. 34.61504 ÷ 89 =
  35. 35.7135 ÷ 8 =
  36. 36.153457 ÷ 897 =
  37. 37.81498 ÷ 88 =
  38. 38.880019 ÷ 998 =
  39. 39.956003 ÷ 998 =
  40. 40.39640 ÷ 98 =

Answer key

  1. 296 rem 76
  2. 304 rem 1
  3. 651 rem 890
  4. 834 rem 29
  5. 602 rem 501
  6. 744 rem 92
  7. 845 rem 493
  8. 188 rem 3
  9. 331 rem 35
  10. 602 rem 6
  11. 731 rem 97
  12. 187 rem 178
  13. 527 rem 428
  14. 736 rem 993
  15. 392 rem 30
  16. 690 rem 45
  17. 708 rem 825
  18. 110 rem 1
  19. 981 rem 271
  20. 583 rem 48
  21. 371 rem 42
  22. 151 rem 966
  23. 396 rem 93
  24. 342 rem 41
  25. 269 rem 85
  26. 478 rem 750
  27. 646 rem 43
  28. 687 rem 61
  29. 118 rem 83
  30. 763 rem 957
  31. 90 rem 827
  32. 129 rem 504
  33. 52 rem 67
  34. 691 rem 5
  35. 891 rem 7
  36. 171 rem 70
  37. 926 rem 10
  38. 881 rem 781
  39. 957 rem 917
  40. 404 rem 48

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