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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 552 · 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. 1.9371 ÷ 89 =
  2. 2.1302 ÷ 8 =
  3. 3.313111 ÷ 988 =
  4. 4.685638 ÷ 988 =
  5. 5.10166 ÷ 88 =
  6. 6.99507 ÷ 97 =
  7. 7.32858 ÷ 96 =
  8. 8.60410 ÷ 97 =
  9. 9.24798 ÷ 97 =
  10. 10.861572 ÷ 997 =
  11. 11.99927 ÷ 96 =
  12. 12.45041 ÷ 98 =
  13. 13.37162 ÷ 89 =
  14. 14.30790 ÷ 998 =
  15. 15.19628 ÷ 98 =
  16. 16.79671 ÷ 97 =
  17. 17.22316 ÷ 89 =
  18. 18.23572 ÷ 88 =
  19. 19.9691 ÷ 98 =
  20. 20.21557 ÷ 88 =
  21. 21.9196 ÷ 8 =
  22. 22.68189 ÷ 96 =
  23. 23.67927 ÷ 98 =
  24. 24.29507 ÷ 89 =
  25. 25.11870 ÷ 97 =
  26. 26.46430 ÷ 88 =
  27. 27.59445 ÷ 998 =
  28. 28.19957 ÷ 98 =
  29. 29.391898 ÷ 988 =
  30. 30.999 ÷ 8 =
  31. 31.335102 ÷ 997 =
  32. 32.49914 ÷ 88 =
  33. 33.51985 ÷ 88 =
  34. 34.83200 ÷ 97 =
  35. 35.63264 ÷ 96 =
  36. 36.1421 ÷ 98 =
  37. 37.523 ÷ 8 =
  38. 38.46498 ÷ 88 =
  39. 39.3377 ÷ 8 =
  40. 40.40645 ÷ 97 =

Answer key

  1. 105 rem 26
  2. 162 rem 6
  3. 316 rem 903
  4. 693 rem 954
  5. 115 rem 46
  6. 1025 rem 82
  7. 342 rem 26
  8. 622 rem 76
  9. 255 rem 63
  10. 864 rem 164
  11. 1040 rem 87
  12. 459 rem 59
  13. 417 rem 49
  14. 30 rem 850
  15. 200 rem 28
  16. 821 rem 34
  17. 250 rem 66
  18. 267 rem 76
  19. 98 rem 87
  20. 244 rem 85
  21. 1149 rem 4
  22. 710 rem 29
  23. 693 rem 13
  24. 331 rem 48
  25. 122 rem 36
  26. 527 rem 54
  27. 59 rem 563
  28. 203 rem 63
  29. 396 rem 650
  30. 124 rem 7
  31. 336 rem 110
  32. 567 rem 18
  33. 590 rem 65
  34. 857 rem 71
  35. 659 rem 0
  36. 14 rem 49
  37. 65 rem 3
  38. 528 rem 34
  39. 422 rem 1
  40. 419 rem 2

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