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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 712 · 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. 1.31417 ÷ 89 =
  2. 2.60177 ÷ 97 =
  3. 3.25444 ÷ 96 =
  4. 4.22764 ÷ 98 =
  5. 5.82512 ÷ 98 =
  6. 6.57675 ÷ 88 =
  7. 7.113122 ÷ 988 =
  8. 8.52874 ÷ 97 =
  9. 9.953110 ÷ 989 =
  10. 10.21116 ÷ 98 =
  11. 11.126878 ÷ 988 =
  12. 12.34544 ÷ 98 =
  13. 13.98151 ÷ 97 =
  14. 14.46260 ÷ 98 =
  15. 15.92184 ÷ 89 =
  16. 16.60847 ÷ 98 =
  17. 17.3653 ÷ 97 =
  18. 18.37251 ÷ 89 =
  19. 19.218999 ÷ 997 =
  20. 20.6022 ÷ 8 =
  21. 21.7005 ÷ 8 =
  22. 22.251 ÷ 8 =
  23. 23.76465 ÷ 97 =
  24. 24.994854 ÷ 998 =
  25. 25.880449 ÷ 897 =
  26. 26.58819 ÷ 97 =
  27. 27.758966 ÷ 998 =
  28. 28.18545 ÷ 88 =
  29. 29.240087 ÷ 998 =
  30. 30.53472 ÷ 98 =
  31. 31.834769 ÷ 997 =
  32. 32.63881 ÷ 98 =
  33. 33.572079 ÷ 997 =
  34. 34.92100 ÷ 97 =
  35. 35.379632 ÷ 897 =
  36. 36.49700 ÷ 96 =
  37. 37.43295 ÷ 89 =
  38. 38.752991 ÷ 897 =
  39. 39.15209 ÷ 96 =
  40. 40.68288 ÷ 96 =

Answer key

  1. 353 rem 0
  2. 620 rem 37
  3. 265 rem 4
  4. 232 rem 28
  5. 841 rem 94
  6. 655 rem 35
  7. 114 rem 490
  8. 545 rem 9
  9. 963 rem 703
  10. 215 rem 46
  11. 128 rem 414
  12. 352 rem 48
  13. 1011 rem 84
  14. 472 rem 4
  15. 1035 rem 69
  16. 620 rem 87
  17. 37 rem 64
  18. 418 rem 49
  19. 219 rem 656
  20. 752 rem 6
  21. 875 rem 5
  22. 31 rem 3
  23. 788 rem 29
  24. 996 rem 846
  25. 981 rem 492
  26. 606 rem 37
  27. 760 rem 486
  28. 210 rem 65
  29. 240 rem 567
  30. 545 rem 62
  31. 837 rem 280
  32. 651 rem 83
  33. 573 rem 798
  34. 949 rem 47
  35. 423 rem 201
  36. 517 rem 68
  37. 486 rem 41
  38. 839 rem 408
  39. 158 rem 41
  40. 711 rem 32

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