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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 490 · 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. 1.9251 ÷ 8 =
  2. 2.207007 ÷ 989 =
  3. 3.95386 ÷ 97 =
  4. 4.4358 ÷ 98 =
  5. 5.241297 ÷ 997 =
  6. 6.5952 ÷ 8 =
  7. 7.95198 ÷ 96 =
  8. 8.2443 ÷ 8 =
  9. 9.966269 ÷ 897 =
  10. 10.85118 ÷ 98 =
  11. 11.512265 ÷ 997 =
  12. 12.87580 ÷ 97 =
  13. 13.938088 ÷ 989 =
  14. 14.1789 ÷ 8 =
  15. 15.100 ÷ 8 =
  16. 16.69660 ÷ 88 =
  17. 17.92889 ÷ 89 =
  18. 18.123717 ÷ 989 =
  19. 19.48550 ÷ 98 =
  20. 20.784931 ÷ 998 =
  21. 21.58523 ÷ 96 =
  22. 22.4142 ÷ 8 =
  23. 23.76966 ÷ 89 =
  24. 24.6968 ÷ 97 =
  25. 25.231051 ÷ 989 =
  26. 26.45541 ÷ 98 =
  27. 27.30021 ÷ 89 =
  28. 28.628294 ÷ 988 =
  29. 29.8292 ÷ 97 =
  30. 30.7556 ÷ 88 =
  31. 31.25043 ÷ 88 =
  32. 32.38553 ÷ 97 =
  33. 33.66818 ÷ 98 =
  34. 34.4755 ÷ 97 =
  35. 35.37052 ÷ 98 =
  36. 36.21546 ÷ 97 =
  37. 37.18024 ÷ 89 =
  38. 38.10569 ÷ 88 =
  39. 39.27555 ÷ 89 =
  40. 40.968435 ÷ 897 =

Answer key

  1. 1156 rem 3
  2. 209 rem 306
  3. 983 rem 35
  4. 44 rem 46
  5. 242 rem 23
  6. 744 rem 0
  7. 991 rem 62
  8. 305 rem 3
  9. 1077 rem 200
  10. 868 rem 54
  11. 513 rem 804
  12. 902 rem 86
  13. 948 rem 516
  14. 223 rem 5
  15. 12 rem 4
  16. 791 rem 52
  17. 1043 rem 62
  18. 125 rem 92
  19. 495 rem 40
  20. 786 rem 503
  21. 609 rem 59
  22. 517 rem 6
  23. 864 rem 70
  24. 71 rem 81
  25. 233 rem 614
  26. 464 rem 69
  27. 337 rem 28
  28. 635 rem 914
  29. 85 rem 47
  30. 85 rem 76
  31. 284 rem 51
  32. 397 rem 44
  33. 681 rem 80
  34. 49 rem 2
  35. 378 rem 8
  36. 222 rem 12
  37. 202 rem 46
  38. 120 rem 9
  39. 309 rem 54
  40. 1079 rem 572

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