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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 15 · 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. 1.827803 ÷ 897 =
  2. 2.80292 ÷ 89 =
  3. 3.51602 ÷ 88 =
  4. 4.7721 ÷ 8 =
  5. 5.31883 ÷ 98 =
  6. 6.283013 ÷ 988 =
  7. 7.7207 ÷ 8 =
  8. 8.4124 ÷ 8 =
  9. 9.152833 ÷ 998 =
  10. 10.95766 ÷ 96 =
  11. 11.67095 ÷ 897 =
  12. 12.643719 ÷ 997 =
  13. 13.2209 ÷ 89 =
  14. 14.54513 ÷ 98 =
  15. 15.28288 ÷ 88 =
  16. 16.7890 ÷ 8 =
  17. 17.127559 ÷ 989 =
  18. 18.2177 ÷ 8 =
  19. 19.15520 ÷ 89 =
  20. 20.79050 ÷ 96 =
  21. 21.8443 ÷ 8 =
  22. 22.55821 ÷ 97 =
  23. 23.97744 ÷ 88 =
  24. 24.85926 ÷ 97 =
  25. 25.89556 ÷ 88 =
  26. 26.215 ÷ 8 =
  27. 27.9089 ÷ 8 =
  28. 28.62057 ÷ 97 =
  29. 29.14870 ÷ 88 =
  30. 30.69457 ÷ 88 =
  31. 31.488501 ÷ 988 =
  32. 32.949813 ÷ 988 =
  33. 33.21706 ÷ 998 =
  34. 34.256401 ÷ 998 =
  35. 35.57463 ÷ 988 =
  36. 36.335903 ÷ 998 =
  37. 37.9685 ÷ 8 =
  38. 38.99170 ÷ 88 =
  39. 39.11016 ÷ 98 =
  40. 40.2572 ÷ 8 =

Answer key

  1. 922 rem 769
  2. 902 rem 14
  3. 586 rem 34
  4. 965 rem 1
  5. 325 rem 33
  6. 286 rem 445
  7. 900 rem 7
  8. 515 rem 4
  9. 153 rem 139
  10. 997 rem 54
  11. 74 rem 717
  12. 645 rem 654
  13. 24 rem 73
  14. 556 rem 25
  15. 321 rem 40
  16. 986 rem 2
  17. 128 rem 967
  18. 272 rem 1
  19. 174 rem 34
  20. 823 rem 42
  21. 1055 rem 3
  22. 575 rem 46
  23. 1110 rem 64
  24. 885 rem 81
  25. 1017 rem 60
  26. 26 rem 7
  27. 1136 rem 1
  28. 639 rem 74
  29. 168 rem 86
  30. 789 rem 25
  31. 494 rem 429
  32. 961 rem 345
  33. 21 rem 748
  34. 256 rem 913
  35. 58 rem 159
  36. 336 rem 575
  37. 1210 rem 5
  38. 1126 rem 82
  39. 112 rem 40
  40. 321 rem 4

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