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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 973 · 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. 1.19981 ÷ 897 =
  2. 2.536792 ÷ 897 =
  3. 3.405791 ÷ 897 =
  4. 4.74313 ÷ 88 =
  5. 5.860687 ÷ 989 =
  6. 6.116289 ÷ 897 =
  7. 7.34614 ÷ 988 =
  8. 8.22015 ÷ 98 =
  9. 9.474574 ÷ 897 =
  10. 10.45717 ÷ 97 =
  11. 11.459449 ÷ 988 =
  12. 12.40591 ÷ 98 =
  13. 13.161162 ÷ 897 =
  14. 14.497107 ÷ 988 =
  15. 15.784875 ÷ 897 =
  16. 16.8471 ÷ 8 =
  17. 17.82243 ÷ 88 =
  18. 18.34139 ÷ 88 =
  19. 19.52920 ÷ 988 =
  20. 20.639092 ÷ 988 =
  21. 21.19667 ÷ 88 =
  22. 22.890883 ÷ 998 =
  23. 23.69042 ÷ 97 =
  24. 24.5939 ÷ 98 =
  25. 25.70221 ÷ 998 =
  26. 26.78692 ÷ 97 =
  27. 27.70126 ÷ 97 =
  28. 28.47435 ÷ 88 =
  29. 29.7587 ÷ 8 =
  30. 30.58190 ÷ 96 =
  31. 31.480950 ÷ 998 =
  32. 32.354058 ÷ 998 =
  33. 33.67691 ÷ 89 =
  34. 34.57434 ÷ 96 =
  35. 35.8500 ÷ 8 =
  36. 36.21387 ÷ 988 =
  37. 37.45524 ÷ 88 =
  38. 38.377906 ÷ 997 =
  39. 39.10608 ÷ 98 =
  40. 40.22784 ÷ 98 =

Answer key

  1. 22 rem 247
  2. 598 rem 386
  3. 452 rem 347
  4. 844 rem 41
  5. 870 rem 257
  6. 129 rem 576
  7. 35 rem 34
  8. 224 rem 63
  9. 529 rem 61
  10. 471 rem 30
  11. 465 rem 29
  12. 414 rem 19
  13. 179 rem 599
  14. 503 rem 143
  15. 875 rem 0
  16. 1058 rem 7
  17. 934 rem 51
  18. 387 rem 83
  19. 53 rem 556
  20. 646 rem 844
  21. 223 rem 43
  22. 892 rem 667
  23. 711 rem 75
  24. 60 rem 59
  25. 70 rem 361
  26. 811 rem 25
  27. 722 rem 92
  28. 539 rem 3
  29. 948 rem 3
  30. 606 rem 14
  31. 481 rem 912
  32. 354 rem 766
  33. 760 rem 51
  34. 598 rem 26
  35. 1062 rem 4
  36. 21 rem 639
  37. 517 rem 28
  38. 379 rem 43
  39. 108 rem 24
  40. 232 rem 48

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