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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 102 · 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. 1.928226 ÷ 988 =
  2. 2.678099 ÷ 997 =
  3. 3.366888 ÷ 989 =
  4. 4.832173 ÷ 988 =
  5. 5.109079 ÷ 998 =
  6. 6.85999 ÷ 98 =
  7. 7.366800 ÷ 997 =
  8. 8.36879 ÷ 89 =
  9. 9.675218 ÷ 988 =
  10. 10.143242 ÷ 998 =
  11. 11.247429 ÷ 897 =
  12. 12.9654 ÷ 98 =
  13. 13.56199 ÷ 997 =
  14. 14.97778 ÷ 96 =
  15. 15.217057 ÷ 997 =
  16. 16.39612 ÷ 96 =
  17. 17.1647 ÷ 8 =
  18. 18.544823 ÷ 897 =
  19. 19.59196 ÷ 97 =
  20. 20.10828 ÷ 98 =
  21. 21.128614 ÷ 897 =
  22. 22.7986 ÷ 96 =
  23. 23.1537 ÷ 8 =
  24. 24.58731 ÷ 988 =
  25. 25.304786 ÷ 988 =
  26. 26.914619 ÷ 997 =
  27. 27.257739 ÷ 897 =
  28. 28.606283 ÷ 989 =
  29. 29.2945 ÷ 88 =
  30. 30.389640 ÷ 897 =
  31. 31.32518 ÷ 98 =
  32. 32.473063 ÷ 897 =
  33. 33.1869 ÷ 98 =
  34. 34.77836 ÷ 88 =
  35. 35.57279 ÷ 97 =
  36. 36.23558 ÷ 997 =
  37. 37.8225 ÷ 97 =
  38. 38.5737 ÷ 8 =
  39. 39.83945 ÷ 98 =
  40. 40.29302 ÷ 97 =

Answer key

  1. 939 rem 494
  2. 680 rem 139
  3. 370 rem 958
  4. 842 rem 277
  5. 109 rem 297
  6. 877 rem 53
  7. 367 rem 901
  8. 414 rem 33
  9. 683 rem 414
  10. 143 rem 528
  11. 275 rem 754
  12. 98 rem 50
  13. 56 rem 367
  14. 1018 rem 50
  15. 217 rem 708
  16. 412 rem 60
  17. 205 rem 7
  18. 607 rem 344
  19. 610 rem 26
  20. 110 rem 48
  21. 143 rem 343
  22. 83 rem 18
  23. 192 rem 1
  24. 59 rem 439
  25. 308 rem 482
  26. 917 rem 370
  27. 287 rem 300
  28. 613 rem 26
  29. 33 rem 41
  30. 434 rem 342
  31. 331 rem 80
  32. 527 rem 344
  33. 19 rem 7
  34. 884 rem 44
  35. 590 rem 49
  36. 23 rem 627
  37. 84 rem 77
  38. 717 rem 1
  39. 856 rem 57
  40. 302 rem 8

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