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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 964 · 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. 1.14429 ÷ 89 =
  2. 2.36228 ÷ 96 =
  3. 3.2167 ÷ 8 =
  4. 4.40552 ÷ 98 =
  5. 5.712414 ÷ 997 =
  6. 6.540991 ÷ 897 =
  7. 7.57147 ÷ 96 =
  8. 8.20788 ÷ 96 =
  9. 9.4519 ÷ 8 =
  10. 10.55301 ÷ 88 =
  11. 11.56332 ÷ 88 =
  12. 12.69308 ÷ 89 =
  13. 13.240262 ÷ 989 =
  14. 14.6444 ÷ 8 =
  15. 15.2110 ÷ 8 =
  16. 16.26619 ÷ 897 =
  17. 17.40213 ÷ 96 =
  18. 18.450740 ÷ 897 =
  19. 19.999 ÷ 8 =
  20. 20.883375 ÷ 997 =
  21. 21.199376 ÷ 989 =
  22. 22.923957 ÷ 989 =
  23. 23.412456 ÷ 988 =
  24. 24.355225 ÷ 997 =
  25. 25.117199 ÷ 997 =
  26. 26.234248 ÷ 897 =
  27. 27.807555 ÷ 989 =
  28. 28.2838 ÷ 8 =
  29. 29.51090 ÷ 97 =
  30. 30.75316 ÷ 96 =
  31. 31.19010 ÷ 97 =
  32. 32.6176 ÷ 8 =
  33. 33.255269 ÷ 988 =
  34. 34.31580 ÷ 88 =
  35. 35.67785 ÷ 96 =
  36. 36.3683 ÷ 8 =
  37. 37.7701 ÷ 8 =
  38. 38.31675 ÷ 89 =
  39. 39.96561 ÷ 88 =
  40. 40.700961 ÷ 997 =

Answer key

  1. 162 rem 11
  2. 377 rem 36
  3. 270 rem 7
  4. 413 rem 78
  5. 714 rem 556
  6. 603 rem 100
  7. 595 rem 27
  8. 216 rem 52
  9. 564 rem 7
  10. 628 rem 37
  11. 640 rem 12
  12. 778 rem 66
  13. 242 rem 924
  14. 805 rem 4
  15. 263 rem 6
  16. 29 rem 606
  17. 418 rem 85
  18. 502 rem 446
  19. 124 rem 7
  20. 886 rem 33
  21. 201 rem 587
  22. 934 rem 231
  23. 417 rem 460
  24. 356 rem 293
  25. 117 rem 550
  26. 261 rem 131
  27. 816 rem 531
  28. 354 rem 6
  29. 526 rem 68
  30. 784 rem 52
  31. 195 rem 95
  32. 772 rem 0
  33. 258 rem 365
  34. 358 rem 76
  35. 706 rem 9
  36. 460 rem 3
  37. 962 rem 5
  38. 355 rem 80
  39. 1097 rem 25
  40. 703 rem 70

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