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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 832 · 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. 1.90898 ÷ 97 =
  2. 2.25286 ÷ 98 =
  3. 3.50554 ÷ 96 =
  4. 4.5198 ÷ 8 =
  5. 5.924809 ÷ 998 =
  6. 6.492150 ÷ 989 =
  7. 7.608481 ÷ 988 =
  8. 8.79374 ÷ 88 =
  9. 9.37122 ÷ 89 =
  10. 10.32761 ÷ 98 =
  11. 11.3366 ÷ 8 =
  12. 12.443325 ÷ 998 =
  13. 13.6037 ÷ 8 =
  14. 14.95958 ÷ 88 =
  15. 15.55542 ÷ 98 =
  16. 16.387611 ÷ 897 =
  17. 17.58215 ÷ 88 =
  18. 18.74329 ÷ 96 =
  19. 19.769786 ÷ 998 =
  20. 20.6797 ÷ 8 =
  21. 21.318325 ÷ 897 =
  22. 22.2935 ÷ 8 =
  23. 23.178365 ÷ 997 =
  24. 24.194779 ÷ 989 =
  25. 25.577810 ÷ 988 =
  26. 26.606835 ÷ 988 =
  27. 27.385473 ÷ 988 =
  28. 28.39119 ÷ 88 =
  29. 29.5706 ÷ 8 =
  30. 30.444057 ÷ 989 =
  31. 31.13805 ÷ 97 =
  32. 32.992518 ÷ 998 =
  33. 33.79603 ÷ 89 =
  34. 34.274 ÷ 8 =
  35. 35.509373 ÷ 998 =
  36. 36.737462 ÷ 897 =
  37. 37.6278 ÷ 8 =
  38. 38.357 ÷ 8 =
  39. 39.99848 ÷ 89 =
  40. 40.4078 ÷ 8 =

Answer key

  1. 937 rem 9
  2. 258 rem 2
  3. 526 rem 58
  4. 649 rem 6
  5. 926 rem 661
  6. 497 rem 617
  7. 615 rem 861
  8. 901 rem 86
  9. 417 rem 9
  10. 334 rem 29
  11. 420 rem 6
  12. 444 rem 213
  13. 754 rem 5
  14. 1090 rem 38
  15. 566 rem 74
  16. 432 rem 107
  17. 661 rem 47
  18. 774 rem 25
  19. 771 rem 328
  20. 849 rem 5
  21. 354 rem 787
  22. 366 rem 7
  23. 178 rem 899
  24. 196 rem 935
  25. 584 rem 818
  26. 614 rem 203
  27. 390 rem 153
  28. 444 rem 47
  29. 713 rem 2
  30. 448 rem 985
  31. 142 rem 31
  32. 994 rem 506
  33. 894 rem 37
  34. 34 rem 2
  35. 510 rem 393
  36. 822 rem 128
  37. 784 rem 6
  38. 44 rem 5
  39. 1121 rem 79
  40. 509 rem 6

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