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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 385 · 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. 1.342345 ÷ 897 =
  2. 2.24650 ÷ 98 =
  3. 3.391194 ÷ 897 =
  4. 4.71959 ÷ 89 =
  5. 5.83239 ÷ 89 =
  6. 6.48764 ÷ 97 =
  7. 7.530768 ÷ 989 =
  8. 8.388096 ÷ 998 =
  9. 9.9784 ÷ 8 =
  10. 10.46118 ÷ 88 =
  11. 11.14443 ÷ 97 =
  12. 12.109715 ÷ 997 =
  13. 13.8897 ÷ 8 =
  14. 14.168 ÷ 8 =
  15. 15.51767 ÷ 997 =
  16. 16.682 ÷ 8 =
  17. 17.41877 ÷ 98 =
  18. 18.41365 ÷ 97 =
  19. 19.91201 ÷ 98 =
  20. 20.7232 ÷ 8 =
  21. 21.155478 ÷ 998 =
  22. 22.373026 ÷ 989 =
  23. 23.243199 ÷ 989 =
  24. 24.512580 ÷ 988 =
  25. 25.5378 ÷ 89 =
  26. 26.282646 ÷ 897 =
  27. 27.960739 ÷ 897 =
  28. 28.867384 ÷ 997 =
  29. 29.82012 ÷ 96 =
  30. 30.32304 ÷ 96 =
  31. 31.93583 ÷ 98 =
  32. 32.48590 ÷ 97 =
  33. 33.626938 ÷ 997 =
  34. 34.93379 ÷ 97 =
  35. 35.436036 ÷ 988 =
  36. 36.65415 ÷ 88 =
  37. 37.988206 ÷ 988 =
  38. 38.75612 ÷ 98 =
  39. 39.82388 ÷ 98 =
  40. 40.556774 ÷ 998 =

Answer key

  1. 381 rem 588
  2. 251 rem 52
  3. 436 rem 102
  4. 808 rem 47
  5. 935 rem 24
  6. 502 rem 70
  7. 536 rem 664
  8. 388 rem 872
  9. 1223 rem 0
  10. 524 rem 6
  11. 148 rem 87
  12. 110 rem 45
  13. 1112 rem 1
  14. 21 rem 0
  15. 51 rem 920
  16. 85 rem 2
  17. 427 rem 31
  18. 426 rem 43
  19. 930 rem 61
  20. 904 rem 0
  21. 155 rem 788
  22. 377 rem 173
  23. 245 rem 894
  24. 518 rem 796
  25. 60 rem 38
  26. 315 rem 91
  27. 1071 rem 52
  28. 869 rem 991
  29. 854 rem 28
  30. 336 rem 48
  31. 954 rem 91
  32. 500 rem 90
  33. 628 rem 822
  34. 962 rem 65
  35. 441 rem 328
  36. 743 rem 31
  37. 1000 rem 206
  38. 771 rem 54
  39. 840 rem 68
  40. 557 rem 888

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