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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 777 · 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. 1.29210 ÷ 98 =
  2. 2.62494 ÷ 89 =
  3. 3.10510 ÷ 97 =
  4. 4.707823 ÷ 998 =
  5. 5.22854 ÷ 98 =
  6. 6.998456 ÷ 988 =
  7. 7.776804 ÷ 897 =
  8. 8.837756 ÷ 998 =
  9. 9.30046 ÷ 98 =
  10. 10.60166 ÷ 88 =
  11. 11.541398 ÷ 998 =
  12. 12.52413 ÷ 96 =
  13. 13.12405 ÷ 97 =
  14. 14.39336 ÷ 89 =
  15. 15.121382 ÷ 897 =
  16. 16.823623 ÷ 897 =
  17. 17.305369 ÷ 897 =
  18. 18.970916 ÷ 988 =
  19. 19.82912 ÷ 97 =
  20. 20.652755 ÷ 989 =
  21. 21.77317 ÷ 97 =
  22. 22.954064 ÷ 988 =
  23. 23.653992 ÷ 997 =
  24. 24.564525 ÷ 897 =
  25. 25.40131 ÷ 88 =
  26. 26.9486 ÷ 8 =
  27. 27.76386 ÷ 98 =
  28. 28.53847 ÷ 88 =
  29. 29.695574 ÷ 989 =
  30. 30.8967 ÷ 98 =
  31. 31.2033 ÷ 8 =
  32. 32.21835 ÷ 989 =
  33. 33.953314 ÷ 988 =
  34. 34.134439 ÷ 988 =
  35. 35.967583 ÷ 988 =
  36. 36.691334 ÷ 997 =
  37. 37.82546 ÷ 96 =
  38. 38.260988 ÷ 998 =
  39. 39.470388 ÷ 988 =
  40. 40.519316 ÷ 998 =

Answer key

  1. 298 rem 6
  2. 702 rem 16
  3. 108 rem 34
  4. 709 rem 241
  5. 233 rem 20
  6. 1010 rem 576
  7. 866 rem 2
  8. 839 rem 434
  9. 306 rem 58
  10. 683 rem 62
  11. 542 rem 482
  12. 545 rem 93
  13. 127 rem 86
  14. 441 rem 87
  15. 135 rem 287
  16. 918 rem 177
  17. 340 rem 389
  18. 982 rem 700
  19. 854 rem 74
  20. 660 rem 15
  21. 797 rem 8
  22. 965 rem 644
  23. 655 rem 957
  24. 629 rem 312
  25. 456 rem 3
  26. 1185 rem 6
  27. 779 rem 44
  28. 611 rem 79
  29. 703 rem 307
  30. 91 rem 49
  31. 254 rem 1
  32. 22 rem 77
  33. 964 rem 882
  34. 136 rem 71
  35. 979 rem 331
  36. 693 rem 413
  37. 859 rem 82
  38. 261 rem 510
  39. 476 rem 100
  40. 520 rem 356

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