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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 551 · 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. 1.920391 ÷ 988 =
  2. 2.511410 ÷ 897 =
  3. 3.543395 ÷ 998 =
  4. 4.52892 ÷ 98 =
  5. 5.287763 ÷ 897 =
  6. 6.16490 ÷ 96 =
  7. 7.66848 ÷ 89 =
  8. 8.2144 ÷ 8 =
  9. 9.37284 ÷ 96 =
  10. 10.987715 ÷ 989 =
  11. 11.422990 ÷ 989 =
  12. 12.420498 ÷ 988 =
  13. 13.80786 ÷ 88 =
  14. 14.2866 ÷ 8 =
  15. 15.6749 ÷ 8 =
  16. 16.757165 ÷ 989 =
  17. 17.436185 ÷ 997 =
  18. 18.23227 ÷ 89 =
  19. 19.3680 ÷ 89 =
  20. 20.19270 ÷ 96 =
  21. 21.21589 ÷ 997 =
  22. 22.590076 ÷ 989 =
  23. 23.47245 ÷ 98 =
  24. 24.5058 ÷ 8 =
  25. 25.57343 ÷ 88 =
  26. 26.98162 ÷ 89 =
  27. 27.1649 ÷ 8 =
  28. 28.4403 ÷ 8 =
  29. 29.98157 ÷ 97 =
  30. 30.203822 ÷ 897 =
  31. 31.1223 ÷ 8 =
  32. 32.90093 ÷ 88 =
  33. 33.58976 ÷ 88 =
  34. 34.976761 ÷ 897 =
  35. 35.50865 ÷ 89 =
  36. 36.24359 ÷ 96 =
  37. 37.93900 ÷ 96 =
  38. 38.296411 ÷ 988 =
  39. 39.177203 ÷ 997 =
  40. 40.723974 ÷ 988 =

Answer key

  1. 931 rem 563
  2. 570 rem 120
  3. 544 rem 483
  4. 539 rem 70
  5. 320 rem 723
  6. 171 rem 74
  7. 751 rem 9
  8. 268 rem 0
  9. 388 rem 36
  10. 998 rem 693
  11. 427 rem 687
  12. 425 rem 598
  13. 918 rem 2
  14. 358 rem 2
  15. 843 rem 5
  16. 765 rem 580
  17. 437 rem 496
  18. 260 rem 87
  19. 41 rem 31
  20. 200 rem 70
  21. 21 rem 652
  22. 596 rem 632
  23. 482 rem 9
  24. 632 rem 2
  25. 651 rem 55
  26. 1102 rem 84
  27. 206 rem 1
  28. 550 rem 3
  29. 1011 rem 90
  30. 227 rem 203
  31. 152 rem 7
  32. 1023 rem 69
  33. 670 rem 16
  34. 1088 rem 825
  35. 571 rem 46
  36. 253 rem 71
  37. 978 rem 12
  38. 300 rem 11
  39. 177 rem 734
  40. 732 rem 758

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