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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 651 · 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. 1.138623 ÷ 897 =
  2. 2.805689 ÷ 988 =
  3. 3.10925 ÷ 98 =
  4. 4.189367 ÷ 997 =
  5. 5.52385 ÷ 96 =
  6. 6.55530 ÷ 98 =
  7. 7.88624 ÷ 96 =
  8. 8.74423 ÷ 98 =
  9. 9.264914 ÷ 989 =
  10. 10.39028 ÷ 88 =
  11. 11.31148 ÷ 88 =
  12. 12.34554 ÷ 97 =
  13. 13.20377 ÷ 96 =
  14. 14.13696 ÷ 97 =
  15. 15.575569 ÷ 989 =
  16. 16.454326 ÷ 997 =
  17. 17.222322 ÷ 998 =
  18. 18.300048 ÷ 998 =
  19. 19.958968 ÷ 988 =
  20. 20.61909 ÷ 96 =
  21. 21.16601 ÷ 97 =
  22. 22.60116 ÷ 89 =
  23. 23.87526 ÷ 96 =
  24. 24.18983 ÷ 989 =
  25. 25.603650 ÷ 989 =
  26. 26.95100 ÷ 89 =
  27. 27.6240 ÷ 8 =
  28. 28.199528 ÷ 998 =
  29. 29.358 ÷ 8 =
  30. 30.4412 ÷ 8 =
  31. 31.164678 ÷ 998 =
  32. 32.41342 ÷ 97 =
  33. 33.1703 ÷ 8 =
  34. 34.967471 ÷ 998 =
  35. 35.16759 ÷ 89 =
  36. 36.21877 ÷ 88 =
  37. 37.2862 ÷ 98 =
  38. 38.13282 ÷ 97 =
  39. 39.18434 ÷ 88 =
  40. 40.9707 ÷ 96 =

Answer key

  1. 154 rem 485
  2. 815 rem 469
  3. 111 rem 47
  4. 189 rem 934
  5. 545 rem 65
  6. 566 rem 62
  7. 923 rem 16
  8. 759 rem 41
  9. 267 rem 851
  10. 443 rem 44
  11. 353 rem 84
  12. 356 rem 22
  13. 212 rem 25
  14. 141 rem 19
  15. 581 rem 960
  16. 455 rem 691
  17. 222 rem 766
  18. 300 rem 648
  19. 970 rem 608
  20. 644 rem 85
  21. 171 rem 14
  22. 675 rem 41
  23. 911 rem 70
  24. 19 rem 192
  25. 610 rem 360
  26. 1068 rem 48
  27. 780 rem 0
  28. 199 rem 926
  29. 44 rem 6
  30. 551 rem 4
  31. 165 rem 8
  32. 426 rem 20
  33. 212 rem 7
  34. 969 rem 409
  35. 188 rem 27
  36. 248 rem 53
  37. 29 rem 20
  38. 136 rem 90
  39. 209 rem 42
  40. 101 rem 11

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