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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 903 · 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. 1.33115 ÷ 88 =
  2. 2.49057 ÷ 96 =
  3. 3.784616 ÷ 897 =
  4. 4.68760 ÷ 98 =
  5. 5.70257 ÷ 97 =
  6. 6.775692 ÷ 988 =
  7. 7.321002 ÷ 897 =
  8. 8.1420 ÷ 98 =
  9. 9.26321 ÷ 88 =
  10. 10.9302 ÷ 8 =
  11. 11.24991 ÷ 96 =
  12. 12.27280 ÷ 88 =
  13. 13.1255 ÷ 88 =
  14. 14.294268 ÷ 998 =
  15. 15.1501 ÷ 89 =
  16. 16.76472 ÷ 97 =
  17. 17.684565 ÷ 989 =
  18. 18.74591 ÷ 97 =
  19. 19.12689 ÷ 96 =
  20. 20.12746 ÷ 97 =
  21. 21.47280 ÷ 997 =
  22. 22.959920 ÷ 998 =
  23. 23.85201 ÷ 96 =
  24. 24.354509 ÷ 897 =
  25. 25.87625 ÷ 96 =
  26. 26.125179 ÷ 997 =
  27. 27.99493 ÷ 98 =
  28. 28.97186 ÷ 96 =
  29. 29.456752 ÷ 997 =
  30. 30.281322 ÷ 989 =
  31. 31.614964 ÷ 997 =
  32. 32.79793 ÷ 97 =
  33. 33.39192 ÷ 98 =
  34. 34.64638 ÷ 98 =
  35. 35.48294 ÷ 96 =
  36. 36.577607 ÷ 998 =
  37. 37.8530 ÷ 8 =
  38. 38.16170 ÷ 96 =
  39. 39.654804 ÷ 998 =
  40. 40.25809 ÷ 988 =

Answer key

  1. 376 rem 27
  2. 511 rem 1
  3. 874 rem 638
  4. 701 rem 62
  5. 724 rem 29
  6. 785 rem 112
  7. 357 rem 773
  8. 14 rem 48
  9. 299 rem 9
  10. 1162 rem 6
  11. 260 rem 31
  12. 310 rem 0
  13. 14 rem 23
  14. 294 rem 856
  15. 16 rem 77
  16. 788 rem 36
  17. 692 rem 177
  18. 768 rem 95
  19. 132 rem 17
  20. 131 rem 39
  21. 47 rem 421
  22. 961 rem 842
  23. 887 rem 49
  24. 395 rem 194
  25. 912 rem 73
  26. 125 rem 554
  27. 1015 rem 23
  28. 1012 rem 34
  29. 458 rem 126
  30. 284 rem 446
  31. 616 rem 812
  32. 822 rem 59
  33. 399 rem 90
  34. 659 rem 56
  35. 503 rem 6
  36. 578 rem 763
  37. 1066 rem 2
  38. 168 rem 42
  39. 656 rem 116
  40. 26 rem 121

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