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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 613 · 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. 1.716718 ÷ 997 =
  2. 2.404073 ÷ 989 =
  3. 3.15068 ÷ 88 =
  4. 4.642424 ÷ 988 =
  5. 5.50818 ÷ 96 =
  6. 6.264031 ÷ 998 =
  7. 7.42613 ÷ 97 =
  8. 8.9755 ÷ 98 =
  9. 9.48148 ÷ 96 =
  10. 10.66169 ÷ 97 =
  11. 11.6381 ÷ 88 =
  12. 12.9933 ÷ 97 =
  13. 13.29526 ÷ 97 =
  14. 14.893282 ÷ 988 =
  15. 15.2514 ÷ 8 =
  16. 16.927287 ÷ 989 =
  17. 17.236993 ÷ 997 =
  18. 18.555158 ÷ 989 =
  19. 19.213249 ÷ 998 =
  20. 20.387570 ÷ 998 =
  21. 21.601593 ÷ 997 =
  22. 22.51205 ÷ 98 =
  23. 23.3343 ÷ 8 =
  24. 24.424501 ÷ 998 =
  25. 25.265677 ÷ 989 =
  26. 26.690910 ÷ 997 =
  27. 27.4696 ÷ 8 =
  28. 28.57020 ÷ 98 =
  29. 29.511608 ÷ 998 =
  30. 30.5532 ÷ 8 =
  31. 31.7235 ÷ 8 =
  32. 32.414543 ÷ 989 =
  33. 33.256416 ÷ 988 =
  34. 34.232679 ÷ 998 =
  35. 35.267205 ÷ 998 =
  36. 36.435404 ÷ 998 =
  37. 37.52721 ÷ 96 =
  38. 38.579199 ÷ 897 =
  39. 39.70215 ÷ 88 =
  40. 40.547207 ÷ 997 =

Answer key

  1. 718 rem 872
  2. 408 rem 561
  3. 171 rem 20
  4. 650 rem 224
  5. 529 rem 34
  6. 264 rem 559
  7. 439 rem 30
  8. 99 rem 53
  9. 501 rem 52
  10. 682 rem 15
  11. 72 rem 45
  12. 102 rem 39
  13. 304 rem 38
  14. 904 rem 130
  15. 314 rem 2
  16. 937 rem 594
  17. 237 rem 704
  18. 561 rem 329
  19. 213 rem 675
  20. 388 rem 346
  21. 603 rem 402
  22. 522 rem 49
  23. 417 rem 7
  24. 425 rem 351
  25. 268 rem 625
  26. 692 rem 986
  27. 587 rem 0
  28. 581 rem 82
  29. 512 rem 632
  30. 691 rem 4
  31. 904 rem 3
  32. 419 rem 152
  33. 259 rem 524
  34. 233 rem 145
  35. 267 rem 739
  36. 436 rem 276
  37. 549 rem 17
  38. 645 rem 634
  39. 797 rem 79
  40. 548 rem 851

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