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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 380 · 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. 1.48835 ÷ 89 =
  2. 2.253666 ÷ 989 =
  3. 3.85679 ÷ 88 =
  4. 4.40322 ÷ 96 =
  5. 5.69732 ÷ 97 =
  6. 6.301242 ÷ 997 =
  7. 7.273544 ÷ 897 =
  8. 8.220846 ÷ 897 =
  9. 9.663090 ÷ 897 =
  10. 10.287940 ÷ 988 =
  11. 11.7259 ÷ 8 =
  12. 12.6417 ÷ 8 =
  13. 13.14208 ÷ 98 =
  14. 14.612678 ÷ 998 =
  15. 15.27737 ÷ 89 =
  16. 16.154477 ÷ 989 =
  17. 17.62688 ÷ 98 =
  18. 18.753378 ÷ 997 =
  19. 19.579258 ÷ 989 =
  20. 20.484113 ÷ 997 =
  21. 21.30881 ÷ 97 =
  22. 22.8187 ÷ 8 =
  23. 23.635677 ÷ 988 =
  24. 24.59657 ÷ 97 =
  25. 25.125756 ÷ 997 =
  26. 26.54916 ÷ 96 =
  27. 27.575136 ÷ 997 =
  28. 28.327721 ÷ 989 =
  29. 29.536612 ÷ 989 =
  30. 30.63253 ÷ 97 =
  31. 31.843714 ÷ 997 =
  32. 32.70047 ÷ 98 =
  33. 33.476337 ÷ 997 =
  34. 34.15095 ÷ 998 =
  35. 35.952987 ÷ 989 =
  36. 36.9677 ÷ 8 =
  37. 37.759596 ÷ 997 =
  38. 38.79291 ÷ 97 =
  39. 39.44828 ÷ 89 =
  40. 40.98311 ÷ 97 =

Answer key

  1. 548 rem 63
  2. 256 rem 482
  3. 973 rem 55
  4. 420 rem 2
  5. 718 rem 86
  6. 302 rem 148
  7. 304 rem 856
  8. 246 rem 184
  9. 739 rem 207
  10. 291 rem 432
  11. 907 rem 3
  12. 802 rem 1
  13. 144 rem 96
  14. 613 rem 904
  15. 311 rem 58
  16. 156 rem 193
  17. 639 rem 66
  18. 755 rem 643
  19. 585 rem 693
  20. 485 rem 568
  21. 318 rem 35
  22. 1023 rem 3
  23. 643 rem 393
  24. 615 rem 2
  25. 126 rem 134
  26. 572 rem 4
  27. 576 rem 864
  28. 331 rem 362
  29. 542 rem 574
  30. 652 rem 9
  31. 846 rem 252
  32. 714 rem 75
  33. 477 rem 768
  34. 15 rem 125
  35. 963 rem 580
  36. 1209 rem 5
  37. 761 rem 879
  38. 817 rem 42
  39. 503 rem 61
  40. 1013 rem 50

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